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CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Jorge Lauret (FaMAF - Universidad Nacional de Cordoba CIEM - CONIC
ET Cordoba\, Argentina)
DTSTART:20200521T120000Z
DTEND:20200521T133000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/1
DESCRIPTION:Title: Finding solitons in differential geometry\nby Jorge Lau
ret (FaMAF - Universidad Nacional de Cordoba CIEM - CONICET Cordoba\, Arge
ntina) as part of ICTP Math Seminar\n\n\nAbstract\nAbstract: The concept o
f soliton provides a useful way to discover elements in a given class of g
eometric structures that are somehow distinguished. Solitons sometimes pla
y the role of "best" structures in the case when the most natural ones are
not available. We aim in this talk to show that this is being very fruitf
ul in the study of Riemannian\, Hermitian\, almost-Kähler and G2 structur
es on manifolds\, with a particular strength on Lie groups. We will start
discussing and finding solitons in some different contexts\, including mat
rices\, polynomials\, plane curves\, Lie group representations (moment map
s) and the variety of Lie algebras.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elizabeth Gasparim (Universidad Catolica del Norte\, Chile)
DTSTART:20200528T120000Z
DTEND:20200528T133000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/2
DESCRIPTION:Title: Mirror Symmetry from a football point of view\nby Eliza
beth Gasparim (Universidad Catolica del Norte\, Chile) as part of ICTP Mat
h Seminar\n\n\nAbstract\nI will illustrate concepts of mirror symmetry usi
ng symplectic Lefschetz fibrations and will discuss how deformations of co
mplex structures may affect mirrors.\n\nPlease register in advance for thi
s meeting:\nhttps://zoom.us/meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cp
d8v-XZs\nAfter registration\, you will receive a confirmation email contai
ning information about joining the meeting\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Giovanni Bellettini (ICTP\, Siena University)
DTSTART:20200623T140000Z
DTEND:20200623T150000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/3
DESCRIPTION:Title: Basic Notions Seminar on mean Curvature Flow of closed Hype
rsurfaces\nby Giovanni Bellettini (ICTP\, Siena University) as part of
ICTP Math Seminar\n\n\nAbstract\nThe seminar will start with the definiti
on of what is mean curvature flow of a closed hypersurface\, illustrated w
ith some basic examples. Next\, I will recall the variational nature of th
e flow and some of the main well-known results\, such as Grayson theorem f
or the evolution of plane curves\, and Huisken convexity preserving theore
m. At the end of the seminar\, some more advanced topics will be mentioned
.\n\nPlease register in advance for this meeting:\nhttps://zoom.us/meeting
/register/tJIqcuGgrTwqGNJluVb3_MrTApmlpnE_Nw7G\nAfter registering\, you wi
ll receive a confirmation email containing information about how to join t
he meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emanuel Carneiro (ICTP)
DTSTART:20200604T130000Z
DTEND:20200604T143000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/4
DESCRIPTION:Title: Joint ICTP/Rio de Janeiro Webinar on Analysis and PDEs "Cer
tainty vs. uncertainty"\nby Emanuel Carneiro (ICTP) as part of ICTP Ma
th Seminar\n\n\nAbstract\nThese long quarantine times got me thinking a li
ttle bit about the many different faces the uncertainty principle for the
Fourier transform has. We will discuss briefly a few classical results and
slowly move towards uncharted territories. There will be interesting conn
ections to number theory and a few other surprises along the way. This is
based on a recent joint work with Oscar Quesada-Herrera (IMPA - Brazil).\n
\nPlease register in advance for this meeting:\nhttps://zoom.us/meeting/re
gister/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs \nAfter registration\, you wil
l receive a confirmation email containing information about joining the me
eting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kai Zheng (School of Mathematical Sciences\, Tongji University\, S
hanghai)
DTSTART:20200611T120000Z
DTEND:20200611T133000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/5
DESCRIPTION:Title: Math Associates Seminar: Singular cscK metrics\nby Kai
Zheng (School of Mathematical Sciences\, Tongji University\, Shanghai) as
part of ICTP Math Seminar\n\n\nAbstract\nWe will discuss singular constant
scalar curvature Kaehler\n(cscK) metrics\, which may have cone singularit
ies and/or degenerate\nsomewhere. They appear naturally in several geometr
ic problems. In this\ntalk\, we will reminisce a little about the past dev
elopment around\nsingular metrics\, and then proceed to recent progress on
existence of\nsingular cscK metrics.\n\nPlease register in advance for th
is meeting: https://zoom.us/meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cp
d8v-XZs \nAfter registration\, you will receive a confirmation email conta
ining information about joining the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Khadim War (IMPA/University of Chicago)
DTSTART:20200702T120000Z
DTEND:20200702T130000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/6
DESCRIPTION:Title: Math Associates Seminar: Closed geodesics on surfaces witho
ut conjugate points\nby Khadim War (IMPA/University of Chicago) as par
t of ICTP Math Seminar\n\n\nAbstract\nAbstract: We obtain Margulis-type as
ymptotic estimates for the number of free homotopy classes of closed geode
sics on certain manifolds without conjugate points. Our results cover all
compact surfaces of genus at least 2 without conjugate points. This is bas
ed on a join work with Vaughn Climenhaga and Gerhard Knieper.\n\nPlease re
gister in advance for this meeting:\nhttps://zoom.us/meeting/register/tJwr
cu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs \nAfter registration\, you will receive a
confirmation email containing information about joining the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dominic Veconi (Penn State University)
DTSTART:20200630T140000Z
DTEND:20200630T150000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/7
DESCRIPTION:Title: Ergodic and thermodynamic properties of pseudo-Anosov diffe
omorphisms\nby Dominic Veconi (Penn State University) as part of ICTP
Math Seminar\n\n\nAbstract\nAbstract: We discuss the thermodynamic and erg
odic properties of a smooth realization of pseudo-Anosov surface homeomorp
hisms. In this realization\, pseudo-Anosov map is uniformly hyperbolic out
side of a neighborhood of a set of singularities\, and the trajectories ar
e slowed down so the differential is the identity at the singularities. Us
ing Young towers\, we prove existence and uniqueness of equilibrium measur
es for geometric $t$-potentials. This family of equilibrium measures inclu
des a unique smooth SRB measure and a measure of maximal entropy\, the lat
ter of which has exponential decay of correlations and the Central Limit T
heorem.\n\nPlease register in advance for this meeting:\nhttps://zoom.us/m
eeting/register/tJYkcu6rqz4tHtQO-cRBsFcrqad-WevSbC69\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Camilo Arias Abad (Universidad Nacional de Colombia en Medellín)
DTSTART:20200625T120000Z
DTEND:20200625T133000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/8
DESCRIPTION:Title: Math Associates Seminar: Singular chains on Lie groups and
the Cartan relations\nby Camilo Arias Abad (Universidad Nacional de Co
lombia en Medellín) as part of ICTP Math Seminar\n\n\nAbstract\nAbstract:
Let G be a simply connected lie group. We denote by C(G) the differential
graded Hopf algebra of smooth singular chains on G. We will explain how t
he category of representations of C(G) can be described infinitesimally in
terms of representations of the differential graded Lie algebra Tg\, whic
h is universal for the Cartan relations. We will also explain how this cor
respondence is related to Chern-Weil theory and higher local systems on th
e classifying space BG. \nThis talk is based on joint work with Alexander
Quintero Vélez.\n\nPlease register in advance for this meeting: https://z
oom.us/meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs \nAfter regis
tration\, you will receive a confirmation email containing information abo
ut joining the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Carolina Araujo (IMPA)
DTSTART:20200618T120000Z
DTEND:20200618T133000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/9
DESCRIPTION:Title: Math Associates seminar: Symmetries in Algebraic Geometry a
nd the Cremona Group\nby Carolina Araujo (IMPA) as part of ICTP Math S
eminar\n\n\nAbstract\nIn this talk I will discuss symmetries of complex al
gebraic varieties. When studying a projective variety $X$\, one usually wa
nts to understand its symmetries. Conversely\, the structure of the group
of automorphisms of $X$ encodes relevant geometric properties of $X$. Afte
r describing some examples of automorphism groups of projective varieties\
, I will discuss why the notion of automorphism is too rigid in the scope
of birational geometry. We are then led to consider another class of symme
tries of $X$\, its birational self-maps. The group of birational self-maps
of the projective space $\\mathbb{P}^n$ is known as the Cremona group in
dimension $n$. Describing the structure of the Cremona group is a major pr
oblem in algebraic geometry. While the theory is well developed in dimensi
on $2$\, little is known in dimension $\\geq 3$\, and a natural problem is
to construct special subgroups of the Cremona group. I will present a rec
ent work with Alessio Corti and Alex Massarenti\, where we investigate sub
groups of the Cremona group consisting of symmetries preserving some speci
al meromorphic volume forms.\n\nPlease register in advance for this meetin
g:\nhttps://zoom.us/meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs
\nAfter registration\, you will receive a confirmation email containing in
formation about joining the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alicia Dickenstein (UBA\, Argentina)
DTSTART:20200723T120000Z
DTEND:20200723T130000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/10
DESCRIPTION:Title: Math Associates Seminar "Positive solutions of sparse poly
nomial systems"\nby Alicia Dickenstein (UBA\, Argentina) as part of IC
TP Math Seminar\n\n\nAbstract\nI will discuss (known and unknown) lower an
d upper bounds for the number of positive solutions of systems of n sparse
polynomials in n variables.\n\nPlease register in advance for this meetin
g:\nhttps://zoom.us/meeting/register/tJctf-qhpj4jHNa323WjE45SVMzgyiCoJcb4\
nAfter registration\, you will receive a confirmation email containing inf
ormation about joining the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jorge Antezana (Universidad Nacional De La Plata)
DTSTART:20200709T130000Z
DTEND:20200709T140000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/11
DESCRIPTION:Title: Math Associates Seminar: Sampling\, tilings\, and quasicry
stals\nby Jorge Antezana (Universidad Nacional De La Plata) as part of
ICTP Math Seminar\n\n\nAbstract\nIn the first part of this talk we will e
xplore the connections between the classical sampling theorem in Paley Wie
ner spaces and the tiling properties of the corresponding spectra. More pr
ecisely\, we will discuss the connections with the Fuglede's theorem and t
he Fuglede's conjecture. In the second part\, we will talk about the role
of the model sets in sampling problems. The model sets were introduced by
Meyer to study approximation of algebraic characters by continuous ones i
n locally compact abelian groups. After the discovery of quasicrystals by
Shechtman in the eighties\, the model sets became an important tool to des
cribe the diffraction patterns of these new materials.\n\nPlease register
in advance for this meeting:\nhttps://zoom.us/meeting/register/tJwrcu6hrjw
vGd3rxgA4UpjhJI5Cpd8v-XZs\nAfter registration\, you will receive a confirm
ation email containing information about joining the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lothar Goettsche (ICTP)
DTSTART:20200715T140000Z
DTEND:20200715T150000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/12
DESCRIPTION:Title: Basic Notions Seminar on Tropical Geometry\nby Lothar
Goettsche (ICTP) as part of ICTP Math Seminar\n\n\nAbstract\nAbstract: \nT
ropical Geometry is said to be the combinatorial shadow of algebraic geome
try\, where algebraic varieties are replaced by combinatorial objects\, wh
ose combinatorial properties reflect the geometric properties of algebraic
varieties.\nIn this talk we intend to give an elementary introduction\, w
ith emphasis on plane tropical curves which are piecewise linear graphs on
the the real plane\, with applications in enumerative geometry of curves.
\n\nPlease register in advance for this meeting: https://zoom.us/meeting/r
egister/tJctduurpzktH9zpfrBLZX5TFSMMu3ht2T0R*\nAfter registration\, you wi
ll receive a confirmation email containing information about how to join t
he meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ivaldo Nunes (Universidade Federal do Maranhão)
DTSTART:20200716T120000Z
DTEND:20200716T130000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/13
DESCRIPTION:Title: Math Associates Seminar: Characterization of free boundary
CMC surfaces in the ball\nby Ivaldo Nunes (Universidade Federal do Ma
ranhão) as part of ICTP Math Seminar\n\n\nAbstract\nIn the first part of
this lecture\, we talk about compact stable CMC surfaces with free boundar
y in compact convex domains of the Euclidean three-space. We prove that ev
ery compact stable CMC surface with free boundary in a convex domain with
boundary geometry sufficiently close to the round two-sphere is topologica
lly a disk or an annulus. This fact\, together with a previous one due to
Ros and Vergasta\, implies a complete classification of these surfaces in
the unit Euclidean three-ball. In the last part of the lecture\, we deal w
ith a characterization of the equatorial disk and the critical catenoid in
the unit Euclidean three-ball based on a pinching condition involving its
second fundamental form and support function. This last part is a joint w
ork with Lucas Ambrozio.\n\nPlease register in advance for this meeting:\n
https://zoom.us/meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs\nAft
er registration\, you will receive a confirmation email containing informa
tion about joining the meeting\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Luna Lomonaco (IMPA\, Brazil)
DTSTART:20200730T140000Z
DTEND:20200730T150000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/14
DESCRIPTION:Title: Math Associates Seminar: Mating quadratic maps with the mo
dular group\nby Luna Lomonaco (IMPA\, Brazil) as part of ICTP Math Sem
inar\n\n\nAbstract\nHolomorphic correspondences are polynomial relations P
(z\,w)=0\, which can\nbe regarded as multi-valued self-maps of the Riemann
sphere(implicit maps\nsending z to w). The iteration of such multi-valued
map generates a\ndynamical system on the Riemann sphere (dynamical system
which generalise\nrational maps and finitely generated Kleinian groups).
We consider a\nspecific 1-(complex)parameter family of (2:2) correspondenc
es F_a\n(introduced by S. Bullett and C. Penrose in 1994)\, which we descr
ibe\ndynamically. In particular\, we show that for every a in the connecte
dness\nlocus M_{\\Gamma}\, this family is a mating between the modular gro
up and\nrational maps in the family Per_1(1)\, and we develop for this fam
ily a\ncomplete dynamical theory which parallels the Douady-Hubbard theory
of\nquadratic polynomials. This is joint work with S. Bullett.\n\nPlease
register in advance for this meeting:\nhttps://zoom.us/meeting/register/tJ
wrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs\nAfter registration\, you will receive
a confirmation email containing information about joining the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ariel Martin Pacetti (Cordoba/CONICET)
DTSTART:20200806T120000Z
DTEND:20200806T130000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/15
DESCRIPTION:Title: Math Associates Seminar: Modularity of some geometric obje
cts: definitions\, reasons and state of the art\nby Ariel Martin Pacet
ti (Cordoba/CONICET) as part of ICTP Math Seminar\n\n\nAbstract\nIn this t
alk we will recall the definition of the zeta function and the L-function
of some geometric objects (with special emphasis on plane projective curve
s). We will state their expected properties and their conjectural relation
with some analytic functions. At last\, we will explain the third central
object (namely Galois representations) and the role it plays in the previ
ous correspondence.\n\nRegister in advance for this meeting:\nhttps://zoom
.us/meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs\nAfter registeri
ng\, you will receive a confirmation email containing information about jo
ining the meeting\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nigel Hitchin (University of Oxford)
DTSTART:20200828T080000Z
DTEND:20200828T100000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/16
DESCRIPTION:Title: ICTP Mathematics Webinar Colloquium on "Generalizations of
Teichmüller space"\nby Nigel Hitchin (University of Oxford) as part
of ICTP Math Seminar\n\n\nAbstract\nThe famous theorem of Narasimhan and S
eshadri showed that the moduli space of representations of the fundamental
group of a surface into a unitary group could be described holomorphicall
y in terms of stable vector bundles on an algebraic curve. The theory of H
iggs bundles extended this idea to noncompact groups and in particular to
real forms like SL(n\,R) and in this case there is a component which is de
scribed as a space of holomorphic differentials on the curve. The special
case n=2 gives classical Teichmüller space. The talk concerns approaches
to the case of SL(n\,R) where n=∞\, interpreted as the group of Hamilton
ian diffeomorphisms of the cotangent bundle of the circle and leads to dif
ferential geometric questions about geodesics on surfaces.\n\n"on the occa
sion of the presentation of the Spirit of Salam Prize to\nM.S. Narasimhan"
\n\nProgramme:\n\n10.00 Welcome and remarks by the ICTP Director\; \n10.0
5 Reminiscences by colleagues\, students and friends\; \n11.00 Mathematic
s Colloquium by Nigel Hitchin (Oxford).\n\nPlease register in advance for
this webinar:\nhttps://zoom.us/webinar/register/WN_FS20kYEVTrKrq9bKiVNqAQ\
nAfter registering\, you will receive a confirmation email containing info
rmation about joining the webinar. Should you not be able to join the Webi
nar\, the Colloquium is also available in live streaming at: https://www.y
outube.com/watch?v=sTx7wLooF8E&feature=youtu.be\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vamsi Pritham Pingali (IISc\, India)
DTSTART:20200924T120000Z
DTEND:20200924T130000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/17
DESCRIPTION:Title: Math Associates Seminars: Numerical Criteria for the Solva
bility of Generalised Monge-Ampere Equations on Projective Manifolds\n
by Vamsi Pritham Pingali (IISc\, India) as part of ICTP Math Seminar\n\n\n
Abstract\nGeneralised Monge-Ampere equations are a family of PDE that cont
ain inverse Hessian equations like the J-equation\, and special cases of t
he deformed Hermitian-Yang-Mills equation. I shall describe a couple of re
sults about them. Firstly\, these equations can be solved on projective\nm
anifolds if and only if Nakai-Moizeshon / Demailly-Paun-style intersection
numbers are positive. This result improves a recent theorem of Gao Chen (
who assumed uniform strict-positivity)\, and settles a conjecture of Lejmi
-Szkelyhidi in the projective case. Secondly\, assuming uniform strict-pos
itivity\, an equivariant version of the same result holds. Thus\, earlier
results due to Collins-Szekelyhidi are recovered. \nThis work is joint wit
h Ved Datar.\n\nRegister in advance for this meeting:\nhttps://zoom.us/mee
ting/register/tJMpf-yoqDkoGtfqr-J--H4Ql7R-eF8hQDbM \n\nAfter registering\,
you will receive a confirmation email containing information about joinin
g the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:José Cisneros-Molina (UNAM\, Mexico)
DTSTART:20201008T140000Z
DTEND:20201008T150000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/18
DESCRIPTION:Title: Math Associates Seminars: Exotic Spheres and Singularities
\nby José Cisneros-Molina (UNAM\, Mexico) as part of ICTP Math Semina
r\n\n\nAbstract\nMilnor's fibration theorem is a landmark in singularity t
heory\, it allows to deepen the study of the geometry and topology of anal
ytic maps near their critical points. To each singular point of a complex
hypersurface it associates a fibre bundle\, known as the Milnor Fibration
of the singularity.\nThe birth of Milnor's Fibration Theorem is a curious
story\, since its origin is not in Singularity Theory. It begins with the
discovery by Milnor in 1956 of the first "exotic spheres": smooth 7-manif
olds homeomorphic to the standard 7-sphere\, but with non-equivalent diffe
rentiable structures. Later\, work of some great mathematicians like Bries
korn\, Jänich\, Hirzebruch and Pham\, led to the discovery of some exampl
es of complex hypersurface singularities whose\nlinks are exotic spheres.\
nThis motivated Milnor to determine when the link of a complex hyper surfa
ce singularity is a homotopy sphere\, culminating in his now famous book "
Singular points of complex hypersurfaces". One of the main results in this
book is precisely Milnor's Fibration Theorem.\nThe aim of this non-techni
cal talk is to tell this interesting story.\n\nPlease register in advance
for this meeting:\nhttps://zoom.us/meeting/register/tJwrcuuhqzspHtRXp1wiLb
mEYk_EyWTBKbRm \n\nAfter registering\, you will receive a confirmation ema
il containing information about joining the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jyotshana Prajapat (University of Mumbai)
DTSTART:20201112T130000Z
DTEND:20201112T140000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/19
DESCRIPTION:Title: Math Associates Seminars: Reaction diffusion equations on
evolving domains: regularity and global existence\nby Jyotshana Prajap
at (University of Mumbai) as part of ICTP Math Seminar\n\n\nAbstract\nThe
abstract for this talk is not available.\n\nPlease register in advance for
this meeting:\nhttps://zoom.us/meeting/register/tJArdu6trjosH9dJ_bigMnqq9
TwkMX3BP5g7 \nAfter registering\, you will receive a confirmation email co
ntaining information about joining the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cecília Salgado (UFRJ)
DTSTART:20201119T130000Z
DTEND:20201119T140000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/20
DESCRIPTION:Title: Math Associates Seminars: Mordell Weil rank jumps and the
Hilbert property\nby Cecília Salgado (UFRJ) as part of ICTP Math Semi
nar\n\n\nAbstract\nIn this talk I will discuss recent progress around the
variation of the Mordell-Weil rank in families of elliptic curves. The fir
st part will be dedicated to give a thorough introduction to the theme\, b
y motivating and discussing the state of the art. The second part will be
dedicated to presenting a recent work joint with Dan Loughran (Bath).\nMor
e precisely\, let X be surface endowed with a (non-constant) elliptic fibr
ation with a section defined over a number field. Specialization theorems
by Néron and Silverman imply that the rank of the Mordell-Weil group of s
pecial fibers is at least equal to the MW rank of the generic fiber. We sa
y that the rank jumps when the former is strictly larger than\nthe latter.
I will discuss rank jumps for elliptic surfaces fibred over the projecti
ve line. If the surface admits a conic bundle we show that the subset of t
he line for which the rank jumps is not thin in the sense of Serre.\n\nPle
ase register in advance for this meeting:\nhttps://zoom.us/meeting/registe
r/tJUuf--hqjwiGda-rN1XT0HXf6w7-u3UfGJJ \n\nAfter registering\, you will re
ceive a confirmation email containing information about joining the meetin
g.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Khadim War (IMPA)
DTSTART:20201201T150000Z
DTEND:20201201T160000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/21
DESCRIPTION:Title: LECTURE SERIES on Dynamics of the Geodesic Flow on Surface
s Without Conjugate Points - Lecture 1: Geometry of Surfaces Without Conju
gate Points\nby Khadim War (IMPA) as part of ICTP Math Seminar\n\n\nAb
stract\nThis lecture focuses on the general geometric aspect of surfaces w
ithout conjugate points. This includes properties of such surfaces and def
inition of the ideal boundary of the universal cover. We will also define
the geodesic flow in this lecture.\n\nKindly register in advance for these
meetings (you only have to register once to attend all events): https://z
oom.us/meeting/register/tJ0sd-igqjouE917PnJKgmidMHmi3lDa58se\nAfter regist
ering\, you will receive a confirmation email containing information about
joining the meeting\n\nLecture 1 is to be considered as part of the ICTP
Math Associates Seminars Series\, being targeted to a more general audienc
e.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Khadim War (IMPA)
DTSTART:20201203T150000Z
DTEND:20201203T160000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/22
DESCRIPTION:Title: LECTURE SERIES on Dynamics of the Geodesic Flow on Surface
s Without Conjugate Points - Lecture 2: Measure of Maximal Entropy Via Pat
terson-Sullivan Measures\nby Khadim War (IMPA) as part of ICTP Math Se
minar\n\n\nAbstract\nThis lecture focuses more on the dynamical aspect of
the geodesic flow. We will define the measure of maximal entropy and give
its construction via the Patterson-Sullivan measures on the ideal boundary
.\n\nKindly register in advance for these meetings (you only have to regis
ter once to attend all events): https://zoom.us/meeting/register/tJ0sd-igq
jouE917PnJKgmidMHmi3lDa58se\nAfter registering\, you will receive a confir
mation email containing information about joining the meeting.\n\nThis Lec
ture is to be considered as part of the ICTP Math Associates Seminars Seri
es\, being targeted to a more general audience.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Khadim War (IMPA)
DTSTART:20201208T150000Z
DTEND:20201208T160000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/23
DESCRIPTION:Title: LECTURE SERIES on Dynamics of the Geodesic Flow on Surface
s Without Conjugate Points - Lecture 3: Some Statistical Properties of the
Geodesic Flow\nby Khadim War (IMPA) as part of ICTP Math Seminar\n\n\
nAbstract\nIn this lecture we will prove that the measure of maximal entro
py constructed above is unique and therefore ergodic. We will also prove t
hat the geodesic flow is mixing with respect to the measure of maximal ent
ropy.\n\nKindly register in advance for these meetings (you only have to r
egister once to attend all events): https://zoom.us/meeting/register/tJ0sd
-igqjouE917PnJKgmidMHmi3lDa58se\nAfter registering\, you will receive a co
nfirmation email containing information about joining the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Khadim War (IMPA)
DTSTART:20201210T130000Z
DTEND:20201210T150000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/24
DESCRIPTION:Title: LECTURE SERIES on Dynamics of the Geodesic Flow on Surface
s Without Conjugate Points - Lectures 4 and 5: Counting the Closed Geodesi
cs\nby Khadim War (IMPA) as part of ICTP Math Seminar\n\n\nAbstract\nI
n these two lectures we prove a Margulis-type asymptotic estimate for the
number of free homotopy classes of closed geodesics. This can be seen as t
he prime geodesic theorem in this setting of surfaces without conjugate po
ints.\n\nKindly register in advance for these meetings (you only have to r
egister once to attend all events): https://zoom.us/meeting/register/tJ0sd
-igqjouE917PnJKgmidMHmi3lDa58se\nAfter registering\, you will receive a co
nfirmation email containing information about joining the meeting.\n\nKind
ly note new starting time: 14:00 CET\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lars Sektnan (Aarhus University)
DTSTART:20210129T130000Z
DTEND:20210129T140000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/27
DESCRIPTION:Title: ICTP/SISSA Math Seminar on Kähler Geometry - Optimal Symp
lectic Connections and Stability of Fibrations\nby Lars Sektnan (Aarhu
s University) as part of ICTP Math Seminar\n\n\nAbstract\nIn this talk I w
ill discuss the notions of an optimal symplectic connection and stability
of fibrations. The former is a PDE for a canonical choice of fibrewise con
stant scalar curvature Kähler (cscK) metric\, for a fibration whose fibre
s admit cscK metrics. The latter is a notion of algebro-geometric stabilit
y for such fibrations.\nThe goal of the talk is to explain what these noti
ons are\, partly in preparation for Michael Hallam's talk the following we
ek. I aim to explain how the notions arose\, and how they specialise to th
e Hermite-Einstein equation and slope stability\, respectively\, for the u
nderlying vector bundle\, when the fibration is the projectivisation of a
vector bundle. I will survey some of the results known about these notions
\, and how they are related. \nThis is joint work with Ruadhaí Dervan.\n\
nPlease register in advance for this meeting:\nhttps://zoom.us/meeting/reg
ister/tJ0ucuypqjorG9DEWT_unX9mtbmwHXtsw5b7 \n\nAfter registering\, you wil
l receive a confirmation email containing information about joining the me
eting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Hallam (Oxford University)
DTSTART:20210205T130000Z
DTEND:20210205T140000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/28
DESCRIPTION:Title: ICTP/SISSA Math Seminar on Kähler Geometry - Stability of
Fibrations through Geodesic Analysis\nby Michael Hallam (Oxford Unive
rsity) as part of ICTP Math Seminar\n\n\nAbstract\nFollowing Lars Sektnan'
s talk on optimal symplectic connections and stability of fibrations\, I w
ill present new work in this area. The main result is that a fibration adm
itting an optimal symplectic connection is polystable with respect to a ce
rtain large class of fibration degenerations\, which builds on a previous
result obtained by Dervan and Sektnan. To prove this\, we analyse geodesic
s in the space of all fibrewise cscK (constant scalar curvature Kähler) m
etrics\, and show that a natural log-norm functional on this space is conv
ex along geodesics. Along the way\, we use the tools developed to give a n
ew and illuminating proof that optimal symplectic connections are unique u
p to automorphisms within a fixe relatively Kähler class (another result
due to Dervan and Sektnan). \nThis work is for my PhD thesis\, supervised
by Ruadhaí Dervan and Frances Kirwan.\n\nPlease register in advance for t
his meeting:\nhttps://zoom.us/meeting/register/tJ0ldOihrjgoGdDgehJGX_7Q6tt
uP8VSNCRB \n\nAfter registering\, you will receive a confirmation email co
ntaining information about joining the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Quoc Anh Ngo (Vietnam National University)
DTSTART:20210211T140000Z
DTEND:20210211T150000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/29
DESCRIPTION:Title: Math Associates Seminar: Bubbling of Q-Curvature Equation
on 4-Manifolds in the null Case\nby Quoc Anh Ngo (Vietnam National Uni
versity) as part of ICTP Math Seminar\n\n\nAbstract\nOn a closed 4-manifol
d\, given a smooth non-trivial function f\, the prescribing Q-curvature eq
uation in the null case asks to solve Pu =fe^{4u} for u\, where P is the P
aneitz operator. A necessary condition for the existence of a solution to
the equation is that f is sign-changing\; and it is well-known that this e
quation always admits at least one solution if\, in addition\, the total i
ntegral of f is negative. As an immediate consequence\, if we let f be sig
n-changing and f ≤\; ε\; for sufficiently small ε\;\, then i
t turns out that a solution exists.\nIn this talk\, I will present some re
sults on the behavior of solutions to the equation if we let ε\; go to
zero.\nThis is joint work with Hong Zhang (SCNU\, China).\n\nPlease regis
ter in advance for this meeting: https://zoom.us/meeting/register/tJEvceyq
qjgjH9Jply9iJ0AHFcaPiF5Manv- \nAfter registering\, you will receive a con
firmation email containing information about joining the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Leandro de Freitas Pessoa (UFPI) (UFPI)
DTSTART:20210218T130000Z
DTEND:20210218T140000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/30
DESCRIPTION:Title: Math Associates Seminar: Detecting the Completeness of a F
insler Manifold via potential Theory for its Infinity Laplacian\nby Le
andro de Freitas Pessoa (UFPI) (UFPI) as part of ICTP Math Seminar\n\n\nAb
stract\nIn this talk we will present some potential-theoretic aspects of t
he eikonal and infinity Laplace operator on a Finsler manifold M. Our main
result shows that the forward completeness of M can be detected in terms
of Liouville properties and maximum principles at infinity for subsolution
s of suitable inhomogeneous inequalities. Also\, an ∞\;-capacity crit
erion and a viscosity version of Ekeland principle are proved to be equiva
lent to the forward completeness of M. Part of the proof hinges on a new b
oundary-to-interior Lipschitz estimate for solutions of an inhomogeneous e
quation for the infinity Laplacian on compact sets\, that implies a unifor
m Lipschitz estimate for certain entire\, bounded solutions without requir
ing the completeness of M.\nJoint work with Damião J. Araújo\, Luciano M
ari.\n\nRegister in advance for this meeting:\nhttps://zoom.us/meeting/reg
ister/tJEofumvpzIiEtEhIVjOZtFbunjZOcsg-_bP \n \nAfter registering\, you wi
ll receive a confirmation email containing information about joining the m
eeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Abdellaziz Harrabi (ISMAI)
DTSTART:20210304T130000Z
DTEND:20210304T140000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/31
DESCRIPTION:Title: Math Associates Seminar: Interpolation Inequality. Explici
t universal Estimate of finite Morse Index Solutions to polyharmonic Equat
ion.\nby Abdellaziz Harrabi (ISMAI) as part of ICTP Math Seminar\n\n\n
Abstract\nLet Ω be a domain of ${\\mathbb R}^n\,\\\;n\\geq 2$\,\n$u \\in
W^{r\,p}_{loc}(Ω)$ with $r\,\\\;p\\geq 2$. We establish interpolation i
nequality estimating $\\displaystyle\\int_{\\Omega} |\\nabla^q u|^p|\\nabl
a^{r-q} (\\psi)|^p$\n where $\\psi$ is a ''general'' cut-off function and
$1\\leq q\\leq r-1$. When\n$p=2$\, we explore this inequality to provide a
n\nexplicit universal estimate of finite Morse index\nsolutions to\n\n$$(-
\\Delta)^r u= f(x\,u)\, \\\,\\\, \\text{in} \\\,\\\, \\Omega.$$\n\nDiffere
ntly to [1\, 2\, 3\, 4\, 6\, 7\, 8\, 10]\, We did not\nuse a blow-up proce
dure and Liouville-type theorem which requires that\n$f(x\,u)$ has an asym
ptotical behavior at infinity like $|u|^{q-1}u$ . We\npropose here a direc
t proof under a large superlinear and subcritical\ngrowth conditions on $f
$ using a variant of the Pohozaev identity and a\ndelicate boot strap argu
ment from local $L^p$-$W^{2r\,p}$ estimate.\nParticularly\, we show that t
he universal constant (which does not depend\non $\\Omega$) evolves as a p
olynomial function of the Morse index.\n\nAlso by virtue of our interpolat
ion inequality\, we extended and improved\nthe integral estimate obtained
in [6]\, to provide nonexistence results\nin the subcritical range of stab
le and stable at infinity weak solutions\nto the following $p$-polyharmoni
c equation\n\n$$\\Delta_{p}^r u =|u|^{q-1}u \\\,\\\, \\text{ in } \\\,\\\,
{\\mathbb R}^n\,\\\,\\\, \\text{ where }\\\,\\\, r \\geq 2\,\\\; p\\geq 2
\\\,\\\, \\text{ and }\\\,\\\, n> rp.$$\n\nPrecisely we removed the expo
nential growth condition $U_1$ imposed on\nunbounded sable solutions in [6
]. At last\, we revised previous local\n$L^p$-$W^{2r\,p}$ estimate stated
in [5\,9].\n\n\nReferences\n\n[1] A.Bahri and P.L.Lions\, Solutions of su
perlinear elliptic equations and\ntheir Morse indices. Comm. Pure Appl. Ma
th. 45 (1992)\, 1205-1215.\n\n[2] J. Dávila\, L. Dupaigne and A.Farina\,
Partial regularity of finite Morse\nindex solutions to the Lane-Emden equa
tion\, J. Funct. Anal. 261\n(2011)\, 218-232.\n\n[3] A. Farina\, On the c
lassification of solutions of the Lane–Emden\nequation on unbounded doma
ins of ${\\mathbb R}^N$\, J. Math. Pures Appl.\n87 (2007)\, 537–561.\n\n
[4] B. Gidas and J. Spruck \, A priori bounds for positive solutions of\n
nonlinear elliptic equations\, Comm. Partial Differential Equations.\n6 (1
981)\, 883-901.\\\n\n[5] F. Gazzola\, H. Christoph Grunau\, G. Sweers\, P
olyharmonic Boundary Value\nProblems\, Lecture Notes in Mathematics\, vol.
1991\, Springer\, 2010.\n\n[6] A. Harrabi\, High-order Bahri-Lions Liouvi
lle type theorems\, Annali di\nMatematica Pura ed Applicata. 198 (2019)\,
1675–1692.\n\n[7] A. Harrabi and B. Rahal\, On the sixth-order Joseph-L
undgren exponent\,\nAnn. Henri Poincaré. 18 (2017)\, 1055-1094.\n\n[8] P
. Polácik\, P. Quittner and P. Souplet\, Singularity and decay estimates\
nin superlinear problems via Liouville-type theorems. I. Elliptic\nequatio
ns and systems\, Duke Math. J. 139 (3) (2007)\, 555-579. \n\n[9] W. Reich
el and T. weth\, A priori bounds and a Liouville theorem on a half\nspace
for higher-order elliptic Dirichlet problems\, Math. Z. 261\n(2009)\, 805-
827.\n\n[10] J. Wei and D. Ye\, Liouville Theorems for stable solutions o
f biharmonic\nproblem\, Math\, Ann. 356 (4) (2013)\, 1599-1612.\n\nPlease
register in advance for this meeting:\nhttps://zoom.us/meeting/register/tJ
UqdOipqz4oHdJjS_oe8mjsP_IBdnMlmuOk \n\nAfter registering\, you will receiv
e a confirmation email containing information about joining the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emanuel Carneiro (ICTP)
DTSTART:20210303T130000Z
DTEND:20210303T140000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/32
DESCRIPTION:Title: Basic Notions Seminar on Fourier Optimization and Number T
heory\nby Emanuel Carneiro (ICTP) as part of ICTP Math Seminar\n\n\nAb
stract\nThis is a talk about a few problems in the interface of harmonic a
nalysis and analytic number theory\, some of them having the Riemann hypot
hesis in the background.\nIt is going to be a light conversation\, accessi
ble to a broad audience.\n\nPlease register in advance for this webinar:\n
https://zoom.us/webinar/register/WN_I9MYZVdxRy-OBs1gVcUECA\nAfter register
ing\, you will receive a confirmation email containing information about j
oining the webinar.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pichai Ramadevi (Indian Institute of Technology Bombay)
DTSTART:20210318T130000Z
DTEND:20210318T140000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/33
DESCRIPTION:Title: Math Associates Seminars: Arborescent versus non-Arboresce
nt Knots and Links\nby Pichai Ramadevi (Indian Institute of Technology
Bombay) as part of ICTP Math Seminar\n\n\nAbstract\nI will briefly explai
n the computational methods of obtaining coloured HOMFLY-PT invariants of
all arborescent knots/links and some non-arborescent knots/links. \nAlso\,
I will briefly discuss our attempts to distinguish mutant knots.\n\nPleas
e register in advance for this meeting:\nhttps://zoom.us/meeting/register/
tJwudOiorD4qH9S_BGN5RD7Z8v8TQjfrXo3o\nAfter registering\, you will receive
a confirmation email containing information about joining the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrea Solotar (Universidad de Buenos Aires)
DTSTART:20210401T120000Z
DTEND:20210401T130000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/34
DESCRIPTION:Title: Math Associates Seminars: The Hochschild Cohomology of gen
tle Algebras\nby Andrea Solotar (Universidad de Buenos Aires) as part
of ICTP Math Seminar\n\n\nAbstract\nHomological methods provide important
information about the structure of associative algebras\, revealing someti
mes hidden connections amongst them. The Hochschild homology\, cohomology
- together with its graded algebra structure and its Gerstenhaber structur
e - of unital associative algebras over a field are invariants preserved b
y derived equivalences. The Lie algebra of derivations modulo inner deriva
tions -that is\, the forst Hochschild cohomology of the algebra- is partic
ularly interesting. \nThe family of gentle algebras has attracted the atte
ntion of many authors in recent times. These algebras were introduced by A
ssem and Skowroński in the '80s as a generalization of iterated tilted al
gebras of type An and affine type Ãn. They are connected to many other a
reas of mathematics such as dimer models\, Lie algebras\, cluster theory\,
and homological mirror symmetry.\nWe will give a complete description of
the structure of the Hochschild cohomology ring of a gentle algebra A both
as a graded commutative algebra and as Gerstenhaber algebra. Furthermore\
, we will show how these structures are encoded in the geometric surface m
odel of the bounded derived category associated to a gentle algebra via it
s ribbon graph. Moreover\, we will explain how the first Hochschild cohomo
logy acts on the category of A-modules and on its derived category. \nThis
is a joint work with Cristian Chaparro Acosta\, Sibylle Schroll and Maria
no Suárez-Alvarez.\n\nPlease register in advance for this meeting:\nhttps
://zoom.us/meeting/register/tJcrduGupjIuHNHlpmH4MNOCRQQulr61w6ej\n \nAfter
registering\, you will receive a confirmation email containing informatio
n about joining the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tony Ezome (USTM\, Gabon and PREMA)
DTSTART:20210415T130000Z
DTEND:20210415T140000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/35
DESCRIPTION:Title: Math Associates Seminar: Hopf-Galois Structures on separab
le Field Extensions\nby Tony Ezome (USTM\, Gabon and PREMA) as part of
ICTP Math Seminar\n\n\nAbstract\nHopf-Galois theory is a generalization o
f the classical Galois theory. The concept of Hopf-Galois extension is due
to Chase and Sweedler [1]. They introduced it in 1969 to study purely ins
eparable extensions of fields and ramified extensions of rings. Then\, in
1987\, Greither and Pareigis [2] developed Hopf-Galois theory for separabl
e field extensions. \nIn the first part of this talk\, we will present Hop
f-Galois structures of separable field extensions by going from well known
results within Galois theory. Then we will focus on Hopf-Galois structure
s which are minimal. All along the talk\, we will give detailed examples.
\n\nReferences\n[1] S. U. Chase and M. E. Sweedler. Hopf Algebras and
Galois Theory. Springer-Verlag\,New York/Berlin\, 1969. Lecture Notes in M
athematics\, Vol. 97. \n\n[2] C. Greither and B. Pareigis. Hopf Galois t
heory for separable field extensions. J.Algebra\, 106:239–258\, 1987.\n\
nPlease register in advance for this meeting : https://zoom.us/meeting/re
gister/tJMqde2ppz0uH9GuZE6ndZfU9ct2qD1W-P9W \n\nAfter registering\, you wi
ll receive a confirmation email containing information about joining the m
eeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Masafumi Hattori (Kyoto University)
DTSTART:20210430T123000Z
DTEND:20210430T133000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/36
DESCRIPTION:Title: ICTP/SISSA Math Seminar on Kähler Geometry: A Decompositi
on Formula for J-Stability and its Applications\nby Masafumi Hattori (
Kyoto University) as part of ICTP Math Seminar\n\n\nAbstract\nJ-stability
plays an important role in K-stability and deeply related to the existence
of a stationary solution of J-flow. Strikingly\, G. Chen\, Datar Pingali
and J. Song proved Lejmi-Szekelyhidi conjecture\, uniform J-stability and
J-positivity are equivalent\, by differential geometric arguments recently
. However\, this fact has not been proved in algebro-geometric way before.
In this talk\, I would like to explain a decomposition formula of non-Arc
himedean J-functional\, the (n+1)-dimensional intersection number into n-d
imensional intersection numbers and its applications to prove the conjectu
re for singular algebraic surfaces and to show that there exists a J-stabl
e but not uniformly J-stable variety. \nBased on arXiv:2103.04603\n\nRegis
ter in advance for this meeting:\nhttps://zoom.us/meeting/register/tJMvdei
urTIoG9LeSPU_FqYfs_Ie5_WgeYM6\n \nAfter registering\, you will receive a c
onfirmation email containing information about joining the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Abbas Fakhari (IPM and Shahid Beheshti University)
DTSTART:20210513T120000Z
DTEND:20210513T130000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/37
DESCRIPTION:Title: ICTP Math Associates Seminar: Stable local Dynamics: Expan
sion\, Quasi-Conformality and Ergodicity\nby Abbas Fakhari (IPM and Sh
ahid Beheshti University) as part of ICTP Math Seminar\n\n\nAbstract\nWe d
iscuss the stable ergodicity of the action of groups of diffeomorphisms o
n smooth manifolds. The existence of such actions is well-known only on on
e-dimensional manifolds. As a consequence of a new local and stable mechan
ism/phenomenon\, called quasi-conformal blender\, one can overcome this re
striction and construct higher-dimensional examples. In particular\, every
closed manifold admits stably ergodic finitely generated group actions by
smooth diffeomorphisms. One can also prove the stable ergodicity of the n
atural action of a generic pair of matrices near the identity on a sphere
of arbitrary dimension. The quasi-conformal blender is developed in the c
ontext of pseudo-semigroup actions of locally defined smooth diffeomorphis
ms and yields stable local ergodicity in several different settings.\n\nTh
is talk is based on a joint work with M. Nassiri and H. Rajabzadeh.\n\nKi
ndly note that this seminar is being organized via Google Meet. To attend
the seminar kindly click on the link below a few minutes before the event
starts and wait until the host allows you to access:\nhttps://meet.google.
com/otj-mqpy-inq\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Akhtam Dzhalilov (Turin Polytechnic University\, Tashkent\, Uzbeki
stan)
DTSTART:20210907T123000Z
DTEND:20210907T133000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/38
DESCRIPTION:Title: Probability invariant measures\, dynamical partitions and
hitting times of circle maps with singularities\nby Akhtam Dzhalilov (
Turin Polytechnic University\, Tashkent\, Uzbekistan) as part of ICTP Math
Seminar\n\n\nAbstract\nIn the present talk we give the short introduction
to circle dynamics. Also we discuss some new results in circle maps with
break or critical points.\n\nRegister in advance for this meeting:\nhttps:
//zoom.us/meeting/register/upAkcOutpjgpEN8KHIr4it2Q9mc0EkRQSw\nAfter regis
tering\, you will receive a confirmation email containing information abou
t joining the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/38/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexandre Bufetov (Aix-Marseille University)
DTSTART:20210917T123000Z
DTEND:20210917T133000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/39
DESCRIPTION:Title: Conditional Measures for the Zero Set of the Gaussian Anal
ytic Function\nby Alexandre Bufetov (Aix-Marseille University) as part
of ICTP Math Seminar\n\n\nAbstract\nConsider a random series whose entrie
s are independent complex Gaussians with expectation zero and variance 1.
The radius of convergence of this series is 1. The Peres-Viràg theorem gi
ves an explicit determinantal formula for the correlation functions of the
zero set\; it turns out\, in particular\, that if the unit disc is consid
ered as the Poincaré model for the Lobachevsky plane\, then the distribut
ion of the zero set is invariant under Lobachevskian isometries. The main
result of the talk is an explicit descriptiopn of conditional distribution
s of the zero set subject to the condition that the configuration is fixed
in the complement of a compact set.\n\nRegister in advance for this meeti
ng:\nhttps://zoom.us/meeting/register/tJYld-CurTsrE9Gw2qPfyAeIBksOHALM_Wkw
\nAfter registering\, you will receive a confirmation email containing in
formation about joining the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elizabeth Gasparim (Universidad Catolica del Norte\, Chile)
DTSTART:20211124T130000Z
DTEND:20211124T140000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/40
DESCRIPTION:Title: Algebraic Geometry Seminar: Intrinsic Mirrors of Adjoint O
rbits\nby Elizabeth Gasparim (Universidad Catolica del Norte\, Chile)
as part of ICTP Math Seminar\n\n\nAbstract\nOur work "A Lie theoretical co
nstruction of a Landau-Ginzburg model without projective mirrors" with Bar
meier\, Ballico\, Grama\, San Martin gives the example LG2 of a Symplectic
Lefschetz fibration without projective mirrors. This means that there doe
s not exist any projective variety whose derived category of coherent shea
ves is equivalent to Fuk(LG2). I will describe how to use the Gross-Sieber
t recipe to obtain an algebraic mirror for LG2.\n\nRegister in advance for
this meeting:\nhttps://zoom.us/meeting/register/tJIuf-6vrT4tGteS5Y9R3YRHW
GEL038gp2CN\nAfter registering\, you will receive a confirmation email con
taining information about joining the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/40/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Francesco Baldassarri (University of Padova)
DTSTART:20220511T120000Z
DTEND:20220511T130000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/41
DESCRIPTION:Title: A closed exact category of quasi-coherent sheaves on forma
l schemes\nby Francesco Baldassarri (University of Padova) as part of
ICTP Math Seminar\n\n\nAbstract\nAbstract: Modeled on the book project htt
ps://arxiv.org/abs/math/0409584 of Gabber and Ramero\, we propose a catego
ry of topological sheaves on a not-necessarily noetherian formal scheme wh
ich is Quillen-exact\, closed symmetric monoidal\, and admits cokernels a
nd images. Unless the scheme is affine\, the category does not admit kerne
ls. We show that the corresponding (topological) cohomology may be calcula
ted by Cech methods.\n\nRegister in advance for this meeting:\nhttps://zoo
m.us/meeting/register/tJYocuyqrjwrGdzQVfkOQzaUcUKJBfDbGnfw\nAfter register
ing\, you will receive a confirmation email containing information about j
oining the meeting.\n\nThis will be a hybrid seminar. All are very welcome
to join either online or in person. Venue: Luigi Stasi seminar room\, for
those wishing to attend in person.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/41/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mladen Victor WICKERHAUSER (Washington University in St. Louis\, M
issouri)
DTSTART:20220616T140000Z
DTEND:20220616T150000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/42
DESCRIPTION:Title: Superposition and Orthogonality\, from Polynomials to Wave
lets\nby Mladen Victor WICKERHAUSER (Washington University in St. Loui
s\, Missouri) as part of ICTP Math Seminar\n\n\nAbstract\nOver three centu
ries\, the approximation of functions by linear superposition has evolved
from polynomials to wavelet Fourier series. We will survey some of these
methods and examine how desirable features beyond ease of computation have
been introduced. We will see how Haar and Daubechies developed special ba
ses with prescribed features that could be adapted to particular approxima
tion problems. Some applications include image compression and de-noising.
\n\nRegister in advance for this meeting:\nhttps://zoom.us/meeting/registe
r/tJMqcOiqqjsoH9zWTSo57lbxrtAGEhtfexB7 \nAfter registering\, you will rece
ive a confirmation email containing information about joining the meeting.
\n\nThis will be a hybrid seminar. All are very welcome to join either onl
ine or in person. Venue: Luigi Stasi Seminar Room (ICTP Leonardo Da Vinci
Building)\, for those wishing to attend in person.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/42/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhengping GUI (ICTP\, Trieste\, Italy)
DTSTART:20220615T140000Z
DTEND:20220615T150000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/43
DESCRIPTION:Title: Elliptic Trace Map on Chiral Algebras\nby Zhengping GU
I (ICTP\, Trieste\, Italy) as part of ICTP Math Seminar\n\n\nAbstract\nTra
ce map on deformation quantized algebra leads to the algebraic index theor
em. We investigate a two-dimensional chiral analogue of the algebraic inde
x theorem via the theory of chiral algebras developed by Beilinson and Dri
nfeld. We construct a trace map on the elliptic chiral homology of the fre
e beta gamma-bc system using the BV quantization framework. As an example\
, we compute the trace evaluated on the unit constant chiral chain and obt
ain the formal Witten genus in the Lie algebra cohomology. This talk is ba
sed on joint work with Si Li.\n\nRegister in advance for this meeting:\nht
tps://zoom.us/meeting/register/tJEqcO6orTwrGdbyt3Z8bbREy1FJETa-8yKS\nAfter
registering\, you will receive a confirmation email containing informatio
n about joining the meeting.\n\nThis will be a hybrid seminar. All are ver
y welcome to join either online or in person. Venue: Luigi Stasi Seminar R
oom (ICTP Leonardo Da Vinci Building)\, for those wishing to attend in per
son.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/43/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Melvin HOCHSTER (University of Michigan\, Ann Arbor\, MI\, USA)
DTSTART:20220725T140000Z
DTEND:20220725T150000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/44
DESCRIPTION:Title: Extending tight closure to characteristic 0 and open quest
ions in all characteristics\nby Melvin HOCHSTER (University of Michiga
n\, Ann Arbor\, MI\, USA) as part of ICTP Math Seminar\n\n\nAbstract\nWe w
ill give a quick introduction to the extension of tight closure to Noether
ian rings containing the rational numbers. We also give an overview of so
me of the most important\nopen questions remaining in all characteristics.
\n\nRegister in advance for this meeting:\nhttps://zoom.us/meeting/registe
r/tJMkce2vqj0sGNaXfO-N3gRHJg9jz3-LU9q6 \nAfter registering\, you will rece
ive a confirmation email containing information about joining the meeting.
\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/44/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tanja Schindler (University of Vienna)
DTSTART:20221012T120000Z
DTEND:20221012T130000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/45
DESCRIPTION:Title: Almost sure asymptotic behaviour of Birkhoff sums for infi
nite measure-preserving dynamical systems\nby Tanja Schindler (Univers
ity of Vienna) as part of ICTP Math Seminar\n\nLecture held in Luigi Stasi
seminar room\, ICTP\, Leonardo Building.\n\nAbstract\nWe are interested i
n the limit behaviour of Birkhoff sums over an infinite sigma-finite measu
re space. If the observable is integrable then - by a classical theorem by
Aaronson - there exists no sequence of real numbers such that the Birkhof
f sum normed by this sequence converges almost surely to 1. Under strong m
ixing conditions on the underlying system we prove a generalized strong la
w of large numbers for integrable observables using a truncated sum adding
a suitable number of terms depending on the point of evaluation. For f no
t integrable we give conditions on f such that the Birkhoff sum normed by
a sequence of real numbers converges almost surely to 1. Finally\, we look
at the example of the backwards continued fractions where we have an obse
rvable which is non-integrable wrt the measure restrictet to a finite meas
ure set. We give a proper truncation also for this system. \nThis is joint
work with Claudio Bonanno.\n\nThis is a hybrid event.\nFor online partici
pation please register here:\nhttps://zoom.us/meeting/register/tJAvf-GsqTs
pHdyZx3rgfg1RyiuEKtUdnq_Q\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/45/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Diletta Martinelli (University of Amsterdam)
DTSTART:20221012T133000Z
DTEND:20221012T150000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/46
DESCRIPTION:Title: Algebraic Geometry Seminars - Part 1: Introduction to bira
tional geometry and the Minimal Model Program Part 2: Gale duality\, blowu
ps and moduli spaces\nby Diletta Martinelli (University of Amsterdam)
as part of ICTP Math Seminar\n\nLecture held in for in-person attendees (I
CTP\, Leonardo da Vinci\, Luigi Stasi seminar room)..\n\nAbstract\nPart 1:
Introduction to birational geometry and the Minimal Model Program\n\nThe
Minimal Model Program is an important framework in the classification of p
rojective varieties up to birational equivalence. In the talk\, I plan to
give an accessible introduction to the subject and describe some recent ad
vances in the theory.\n\n\n\n\n\n\nPart 2: Gale duality\, blowups and modu
li spaces\n\nThe Gale correspondence provides a duality between sets of n
points in projective spaces P^s and P^r when n=r+s+2. For small values of
s\, this duality has a remarkable geometric manifestation: the blowup of P
^r at n points can be realized as a moduli space of vector bundles on the
blowup of P^s at the Gale dual points. We explore this realization to desc
ribe the birational geometry of blowups of projective spaces at points in
very general position. We will focus in particular on the cases where the
blowup fails to be a Mori Dream Space\, reporting on a joint work with Car
olina Araujo\, Ana-Maria Castravet and Inder Kaur.\n\nFor virtual attendee
s - Kindly register in advance:\nhttps://zoom.us/meeting/register/tJEodeys
pjooE9RLusdnk-qwB3tk0VcT8kuM\nAfter registering\, you will receive a confi
rmation email containing information about joining the meeting.\n\nKindly
note that this seminar is divided in two parts of roughly 45 minutes each
. The first part is for more general audience\, while the second part is m
ore specialized.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/46/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lothar Göttsche (ICTP)
DTSTART:20221019T140000Z
DTEND:20221019T153000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/47
DESCRIPTION:Title: Algebraic Geometry Seminar -Part 1: The Hilbert scheme of
points and Part 2: (Refined) Verlinde and Segre formulas for Hilbert schem
es of pointsuli spaces\nby Lothar Göttsche (ICTP) as part of ICTP Mat
h Seminar\n\nLecture held in Hybrid seminar.\n\nAbstract\nPart 1: The Hilb
ert scheme of points\nWe introduce the Hilbert scheme of points on surface
\, and talk about its invariants\, its relations to other moduli spaces of
sheaves and applications to enumerative geometry. Finally we introduce so
me techniques for working with these Hilbert schemes\n\nPart 2: (Refined)
Verlinde and Segre formulas for Hilbert schemes of pointsuli spaces\nThis
is joint work with Anton Mellit.\nSegre and Verlinde numbers of Hilbert sc
hemes of points have been studied for a long time.\nThe Segre numbers are
evaluations of top Chern and Segre classes of so-called tautological bundl
es on Hilbert schemes of points.\nThe Verlinde numbers are the holomorphic
Euler characteristics of line bundles on these Hilbert schemes.\nWe give
the generating functions for the Segre and Verlinde numbers of Hilbert sch
emes of points.\nThe formula is proven for surfaces with K_S^2=0\, and con
jectured in general. Without restriction on K_S^2 we prove the conjectured
Verlinde-Segre correspondence relating Segre and Verlinde numbers of Hilb
ert schemes. Finally we find a generating function for finer invariants\,
which specialize to both the Segre and Verlinde numbers\, giving some kind
of explanation of the Verlinde-Segre correspondence.\n\nThe talk is divid
ed in 2 parts\, each roughly 45mn with a short break between. The 1st part
is for more general audience and the 2nd part is more specialized.\n\nVen
ue: for in-person attendees (ICTP Leonardo da Vinci\, Luigi Stasi seminar
room).\n\nFor virtual attendees:\nhttps://zoom.us/meeting/register/tJUvdum
rpjMqH9TgK4-irQa1IZcvBANg3EGF\nAfter registering\, you will receive a conf
irmation email containing information about joining the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/47/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Miguel Urbano (KAUST)
DTSTART:20221118T100000Z
DTEND:20221118T110000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/49
DESCRIPTION:Title: Lipschitz learning and the infinity-Laplacian\nby Migu
el Urbano (KAUST) as part of ICTP Math Seminar\n\nLecture held in Luigi St
asi seminar room\, ICTP\, Leonardo Building.\n\nAbstract\nInfinity-harmoni
c functions have recently found application in Semi-Supervised Learning in
the context of the so-called Lipschitz Learning. With this application in
mind\, we will discuss the Lipschitz extension problem\, its solution via
MacShane-Whitney extensions and its several drawbacks\, leading to the no
tion of AMLE (Absolutely Minimising Lipschitz Extension). We then address
the equivalence between being absolutely minimising Lipschitz\, enjoying c
omparison with cones and solving the infinity-Laplace equation in the visc
osity sense. \nWe will present a few regularity results and discuss open p
roblems if time permits.\n\nThis is a hybrid event.\nFor those wishing to
attend in remote\, please register in advance for this meeting:\nhttps://z
oom.us/meeting/register/tJ0lcOGrrj8pGNwzzpDNyw9zrLYidnQW93NJ \n\nAfter reg
istering\, you will receive a confirmation email containing information ab
out joining the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/49/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Damião Araújo (Universidade Federal da Paraíba – UFPB)
DTSTART:20221130T100000Z
DTEND:20221130T110000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/50
DESCRIPTION:Title: On highly degenerate Alt-Phillips problems\nby Damiã
o Araújo (Universidade Federal da Paraíba – UFPB) as part of ICTP Mat
h Seminar\n\nLecture held in for in-person attendees: Lecture Room D (ICTP
\, Leonardo da Vinci\, terrace level).\n\nAbstract\nIn this talk\, we stud
y regularity properties for nonvariational singular elliptic equations rul
ed by highly degenerate second-order operators. We obtain optimal regulari
ty along the free boundary. We also show existence of solutions\, nondegen
eracy properties\, and fine geometric estimates for the free boundary. \nT
his is joint work with Ginaldo Sá - UFPB.\n\nRegister in advance for this
meeting:\nhttps://zoom.us/meeting/register/tJwtceytpjwuEtHlba3sEx-YuHV74K
jK6RsW \n\nAfter registering\, you will receive a confirmation email conta
ining information about joining the meeting.\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/50/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sergio Troncoso Igua (Universidad Tecnica Federico Santa Maria)
DTSTART:20230411T083000Z
DTEND:20230411T093000Z
DTSTAMP:20260404T094341Z
UID:ICTPmathseminar/51
DESCRIPTION:Title: Geography of Surfaces of general Type: Construction of Sav
ageSurfaces.\nby Sergio Troncoso Igua (Universidad Tecnica Federico Sa
nta Maria) as part of ICTP Math Seminar\n\nLecture held in for in-person a
ttendees: Luigi Stasi Seminar Room\, ICTP\, Leonardo Building.\n\nAbstract
\nIn this talk\, we explore a technique to construct a surface S of genera
l type\, as a complete intersection of a product of two surfaces X and Y\,
such that the Chern numbers of X and Y control the Chern numbers of S\, a
s well as its fundamental group. LEF line bundles are a primary tool\, so
we will briefly introduce them. We will show how to use LEF bundles to han
dle the geographical problem of populating the interval [1\, 3] densely wi
th Chern slopes of minimal surfaces of general type and a fixed fundamenta
l group. The surfaces that solve such problems are known as Savage Surface
s. \nJoint work with Giancarlo Urzúa.\n\nThis is a hybrid event. For thos
e wishing to attend online\, please register through https://zoom.us/meeti
ng/register/tJAkdu-uqzkrGNPiP0rLXSuM5bSbSaX5BeDX\n
LOCATION:https://stable.researchseminars.org/talk/ICTPmathseminar/51/
END:VEVENT
END:VCALENDAR