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BEGIN:VEVENT
SUMMARY:David Eisenbud (MSRI and University of California\, Berkeley)
DTSTART:20210203T160000Z
DTEND:20210203T170000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/1
DESCRIPTION:Title: The Problem of Subtraction in Algebraic Geometry and Commutative
Algebra\nby David Eisenbud (MSRI and University of California\, Berke
ley) as part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nSome cur
ves in 3-space can be realized as the intersections of two surfaces\; for
example\, the intersection of two quadric (= degree 2) hypersurfaces conta
ining a line in common has another component\, which can be thought of as
the intersection minus the line. The invariants of that other component ca
n be computed from this information: it must be a curve of degree 3 and ge
nus 0. In commutative algebra\, subtractions appear as ideal quotients\, a
nd raise other interesting questions\, some very subtle. Such problems hav
e been studied for more than 100 years. I'll discuss the origins of this t
heory of "residual intersections"\, and some of the modern developments in
algebraic geometry and commutative algebra.\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Keith Taylor (Dalhousie University\, Canada)
DTSTART:20210217T123000Z
DTEND:20210217T133000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/2
DESCRIPTION:Title: Groups of Affine Transformations\, Convolution Idempotents\, and
Wavelet Transforms\nby Keith Taylor (Dalhousie University\, Canada) a
s part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nThe classical
continuous wavelet transform has a wide array of applications in harmonic
analysis\, function theory\, and signal processing. Higher dimensional ana
logs\, such as the shearlet transform fmd similar applications\, including
in image processing. In this talk\, we will explore the role that the uni
tary representations of certain groups of affme transformations played in
the discovery of many different wavelet-like transfonnations. The concept
of a self-adjoint convolution idempotent will provide an intermediate step
.\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Laurent Lafforgue (IHES (Institut des Hautes Etudes Scientifiques)
)
DTSTART:20210421T120000Z
DTEND:20210421T133000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/3
DESCRIPTION:Title: The creative power of categories: elements of History and some n
ew perspectives\nby Laurent Lafforgue (IHES (Institut des Hautes Etude
s Scientifiques)) as part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstr
act\nThe notion of category and the basic language of category theory (fun
ctors\, natural transformation of functors\, limits\, colimits\, adjoint f
unctors\,...) are very recent in History and may seem too simple and too g
eneral.\n\nHowever\, it has been proved repeatedly - especially by Grothen
dieck and his followers - that these simple notions can be transformed int
o very powerful means of creation of new mathematics.\n\nThe purpose of th
is talk will be to present some of the most powerful category-based ideas
and theories introduced by Grothendieck. Some emphasis will be given to th
e notion of topos\, which Grothendieck considered its most important idea
(together with the idea of motive) and which recently has been given new i
mpetus by Italian mathematician Olivia Caramello's "technique of toposes a
s bridges".\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Efim Zelmanov (UCSD Math)
DTSTART:20210526T150000Z
DTEND:20210526T160000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/4
DESCRIPTION:Title: Panorama of Algebra in the 20th Century\nby Efim Zelmanov (U
CSD Math) as part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nThe
talk will present a broad overview of Abstract Algebra from\nGalois to ou
r time\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amnon Neeman (ANU)
DTSTART:20210623T110000Z
DTEND:20210623T120000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/5
DESCRIPTION:Title: Approximable triangulated categories and applications\nby Am
non Neeman (ANU) as part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstra
ct\nMeeting ID: 944 5190 5973\nPasscode: 210623\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christophe Ritzenthaler (University of Rennes 1 and University Cô
te d’Azur)
DTSTART:20210922T130000Z
DTEND:20210922T140000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/6
DESCRIPTION:Title: Fun with Curves\nby Christophe Ritzenthaler (University of R
ennes 1 and University Côte d’Azur) as part of IPM-Isfahan Mathematics
Colloquium\n\n\nAbstract\nIn 1985\, Jean-Pierre Serre gave a series of lec
tures at Harvard about the maximal number of rational points on curves ove
r finite fields. In my talk\, I will tell about the motivations to study s
uch problem and\, through 3 snapshots\, show recent research directions.\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:M. Shahryari (Sultan Qaboos)
DTSTART:20220804T063000Z
DTEND:20220804T073000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/7
DESCRIPTION:Title: Logical generation of groups\nby M. Shahryari (Sultan Qaboos
) as part of IPM-Isfahan Mathematics Colloquium\n\nAbstract: TBA\n\nMeetin
g ID: 924 2491 5361\nPasscode: 623781\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Caucher Birkar (Tsinghua Univ. & University of Cambridge)
DTSTART:20220907T063000Z
DTEND:20220907T073000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/8
DESCRIPTION:Title: Moduli of Algebraic Varieties\nby Caucher Birkar (Tsinghua U
niv. & University of Cambridge) as part of IPM-Isfahan Mathematics Colloqu
ium\n\n\nAbstract\nModuli spaces play a fundamental role in algebraic geom
etry and well beyond. These spaces are essentially spaces parameterising c
ollections of varieties with certain invariants fixed. I this talk I discu
ss existence of compact moduli spaces for algebraic varieties in a quite g
eneral context.\n\nMeeting ID: 982 9030 0451\nPasscode: 076334\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrea Solotar (Universidad de Buenos Aires & President of the CDC
(from 2023))
DTSTART:20221012T123000Z
DTEND:20221012T133000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/9
DESCRIPTION:Title: Activities of the Commission for Developing Countries of the Int
ernational Mathematical Union\nby Andrea Solotar (Universidad de Bueno
s Aires & President of the CDC (from 2023)) as part of IPM-Isfahan Mathema
tics Colloquium\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mohammad Farazmand (North Carolina State University)
DTSTART:20221026T123000Z
DTEND:20221026T133000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/10
DESCRIPTION:Title: Prediction and Quantification of Rare Extreme Events in Dynamic
al Systems\nby Mohammad Farazmand (North Carolina State University) as
part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nRare extreme ev
ents cause loss of human lives\, displacement of populations\, erosion of
the environment and billions of dollars in damages. Examples include tsuna
mis\, wildfires\, earthquakes\, and climate transitions. Understanding the
root causes of such events and their real-time forecast allows us to opti
mize our response management plans\, resource allocation and mitigation st
rategies\, hence minimizing their financial\, humanitarian and environment
al harm. I will first present an overview of state-of-the-art research on
rare extreme events. Then I'll discuss some recent advances in understandi
ng and predicting these events in dynamical systems which are described by
nonlinear ordinary or partial differential equations. Finally\, I will p
resent several applications\, such as rogue waves\, climate change and wil
dfires\, where methods from dynamical systems have recently made significa
nt contributions to our understanding of rare events\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Robertz (RWTH Aachen Univ.\, Germany)
DTSTART:20221123T133000Z
DTEND:20221123T143000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/11
DESCRIPTION:Title: An Introduction to Janet Bases and Thomas Decomposition and th
eir Applications to PDEs\nby Daniel Robertz (RWTH Aachen Univ.\, Germa
ny) as part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nIn a firs
t part\, we give an introduction to Janet bases as distinguished generatin
g sets for polynomial ideals. These sets are particular cases of Gröbner
bases and involutive bases. We introduce a notion of generalized Hilbert s
eries with several applications: determining invariants of an ideal like t
he Hilbert polynomial\, transforming the ideal in question to Noether posi
tion in a sparse manner\, finding power series solutions to systems of lin
ear partial differential equations\, etc. \nA second part will focus on a
more general method for dealing with systems of nonlinear partial differen
tial equations. A Thomas decomposition is a finite family of so-called sim
ple differential systems\, each of which is formally integrable\, and such
that the solution set of the original system is the disjoint union of the
solution sets of the simple systems. Again several applications can be di
scussed: solving differential elimination problems\, analyzing certain str
uctural properties of nonlinear control systems\, studying consistency of
finite difference schemes for systems of nonlinear partial differential eq
uations. \nDemonstrations of implementations in Maple will be given if tim
e permits.\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marco Antonio Teixeira (Estadual de Campinas\, Brazil)
DTSTART:20221207T130000Z
DTEND:20221207T140000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/12
DESCRIPTION:Title: Some Directions in Non-smooth Dynamical Systems Theory\nby
Marco Antonio Teixeira (Estadual de Campinas\, Brazil) as part of IPM-Isfa
han Mathematics Colloquium\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christophe Soule (IHES\, Paris)
DTSTART:20221221T130000Z
DTEND:20221221T140000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/13
DESCRIPTION:Title: Arakelov Theory and the abc Conjecture\nby Christophe Soule
(IHES\, Paris) as part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstrac
t\nThe abc conjecture is a generalization of Fermat's last theorem (in deg
ree large enough). Parshin and Moret-Bailly have postulated an inequality
in Arakelov theory and they showed that it would imply a weak form of the
abc conjecture.\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jon F. Carlson (University of Georgia)
DTSTART:20230301T123000Z
DTEND:20230301T133000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/14
DESCRIPTION:Title: Support Varieties in Group Representations\nby Jon F. Carls
on (University of Georgia) as part of IPM-Isfahan Mathematics Colloquium\n
\nAbstract: TBA\n\nZoom meeting ID: 927 3085 9653\n passcode: 980135
\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jakob Palmkvist (Orebro University)
DTSTART:20230517T123000Z
DTEND:20230517T133000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/15
DESCRIPTION:Title: Lie Superalgebras and Gravity\nby Jakob Palmkvist (Orebro U
niversity) as part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nI
will review the idea of supersymmetry between bosons and fermions in physi
cs\, and in particular in gravitational theories\, leading to supergravity
. The supersymmetry transformations form a Lie superalgebra\, but I will a
lso show that Lie superalgebras are useful already for describing purely b
osonic theories. In particular\, I will give an account of tensor hierarch
y algebras\, which can be seen as infinite-dimensional generalisations of
Lie superalgebras of Cartan type\, and how they arise in the supergravity
context.\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Johan Öinert (Blekinge Inst. Tech.\, Sweden)
DTSTART:20230830T123000Z
DTEND:20230830T133000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/16
DESCRIPTION:Title: Primeness of Group-graded Rings\, with Applications to Leavitt
Path Rings\nby Johan Öinert (Blekinge Inst. Tech.\, Sweden) as part o
f IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nIn this talk I will ex
plain how one can characterize primeness for a rather broad class of group
-graded rings called nearly epsilon-strongly graded rings. Our main result
generalizes a classical result by D. Passman from the 1980s. We will also
show how to apply our results to Leavitt path rings\, thereby obtaining g
eneralizations of more recent results by Larki and by Abrams-Bell-Rangaswa
my. This is joint work with Daniel Lännström (Linköping University)\, P
atrik Lundström (University West)\, and Stefan Wagner (Blekinge Institute
of Technology).\n\nZoom\nMeeting ID: 993 6496 6681\nPasscode: 176149\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vladimir Popov (Steklov. Inst. Math.\, Russia)
DTSTART:20231025T123000Z
DTEND:20231025T133000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/17
DESCRIPTION:Title: 180 years of Invariant Theory\nby Vladimir Popov (Steklov.
Inst. Math.\, Russia) as part of IPM-Isfahan Mathematics Colloquium\n\n\n
Abstract\nInvariant Theory is a branch of algebra that is more than 180 ye
ars old. During these years it came through several periods of rises and f
alls. Nowadays\, it comes through the new period of vigorous development
\, flourishing again because of the deep\, mutually fruitful links with a
number of disciplines (algebraic groups\, Lie groups\, representation theo
ry\, algebraic geometry\, commutative algebra\, homological algebra\, Galo
is theory\, ring theory\, combinatorics\, coding theory) and famous mathem
atical problems (Hilbert's 14th and 13th problems). In fact\, Invariant Th
eory gave birth to some of them (commutative algebra and homological algeb
ra). The purpose of this talk is to give a survey\, intended for the nonex
perts\, of the main streams and results of this theory\, from the beginnin
g to the present time.\n\nZoom:\n\nMeeting ID: 904 217 9424\nPasscode: 076
334\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sadok Kallel (Univ. Lille 1 & Americ. Univ. Sharjah)
DTSTART:20231115T123000Z
DTEND:20231115T133000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/18
DESCRIPTION:Title: On the Euler Charachteristic of Orbit Spaces of Stratified Grou
p Actions\nby Sadok Kallel (Univ. Lille 1 & Americ. Univ. Sharjah) as
part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nIn the first par
t\, we show how the additivity of the Euler characteristic with compact su
pports works well for poset stratified spaces. We then use this formalism
to give elementary derivations of the Euler characteristic of cocompact qu
otients by "stratified group actions" of a discrete group. We use this der
ivation to give a formula for the topological Euler characteristic of Eucl
idean crystallographic orbifold quotients.\n\nZoom\n\nMeeting ID: 972 8291
0564\nPasscode: 432096\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Francois Boulier (Universite de Lille\, France)
DTSTART:20240124T123000Z
DTEND:20240124T133000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/19
DESCRIPTION:Title: On the Relationship between the Fundamental Theorem of Tropical
Differential Algebraic Geometry and Numerical Integration of ODEs\nby
Francois Boulier (Universite de Lille\, France) as part of IPM-Isfahan Ma
thematics Colloquium\n\n\nAbstract\nThe Fundamental Theorem of Tropical Di
fferential Algebraic Geometry is an equivalence theorem\, of fundamental n
ature\, proved in the ODE case by Aroca\, Garay-López and Toghani (2016)\
, solving a conjecture stated by Grigoriev (2015). A key ingredient is an
approximation theorem which actually is quite close to other approximation
theorems proved by Denef and Lipshitz in their famous 1984 article in the
Mathematische Annalen which lead to an algorithm deciding whether a gener
al initial value problem has formal power series solutions (initial values
are here considered in some generalized sense). Initial values for which
formal power series fail to exist or be unique correspond to the cases whe
re the classical numerical integration of ODE such as Runge-Kutta methods\
, does not apply. In my talk\, I will provide details and explanations to
these statements. My relationship with these topics is this one: I have co
ntributed to a generalization of the Fundamental Theorem for the PDE case\
n(Falkensteiner et al. 2020\, 2021) and I am studying the possibility to t
urn Denef and Lipshitz theoretical algorithm into a practical one and impl
ement it in the Python DifferentialAlgebra package which should be release
d very soon.\n\nZoom:\n\nMeeting ID: 924 2889 4768\nPasscode: 371842\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ching Hung Lam (Academia Sinica\, Taiwan)
DTSTART:20240306T120000Z
DTEND:20240306T130000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/20
DESCRIPTION:Title: On the Classification of Holomorphic Vertex Operator Algebras o
f Central Charge 24\nby Ching Hung Lam (Academia Sinica\, Taiwan) as p
art of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nWe will discuss t
he recent progress towards the classification of holomorphic vertex operat
or algebras of central charge 24. Some important tools will be discussed.
We will stress on\nthe similarities between the theory of vertex operator
algebras and the theory of integral lattices. In particular\, we will disc
uss an approach using the Leech lattice\, the unique even unimodular lat
tice of rank 24 with minimal norm 4.\n\nZoom:\nMeeting ID: 993 7205 0337
\nPasscode: 11111\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jon McCammond (UC Santa Barbara)
DTSTART:20240417T140000Z
DTEND:20240417T150000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/21
DESCRIPTION:Title: The Mysterious Geometry of Artin Groups\nby Jon McCammond
(UC Santa Barbara) as part of IPM-Isfahan Mathematics Colloquium\n\n\nAbst
ract\nCoxeter Groups are a general family of groups that contain all of
the symmetry groups of Platonic solids (and other high-dimensional regula
r polytopes) as well as the affine reflection groups at the heart of the s
tructure theory of Lie Groups and Lie Algebras. Artin Groups are another
general family of groups that can be systematically derived from Coxete
r Groups using complexified hyperplane complements. In particular\, Co
xeter Groups can be viewed as generalized symmetric groups and Artin Grou
ps can be viewed as generalized braid groups. In this talk\, I focus on
the sharp contrast between the two classes of groups. There are classica
l\nuniversal theorems that describe the structure of all Coxeter Groups\,
but the structure of most Artin groups remains fundamentally mysterious.\n
\nZoom\nMeeting ID: 965 8534 6702\nPasscode: 2222\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hiroshi Yamauchi (Tokyo Woman’s Christian Univ.\, Japan)
DTSTART:20240501T113000Z
DTEND:20240501T123000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/22
DESCRIPTION:Title: Ising Vectors and Vertex Algebras\nby Hiroshi Yamauchi (To
kyo Woman’s Christian Univ.\, Japan) as part of IPM-Isfahan Mathematics
Colloquium\n\n\nAbstract\nIn this talk I will start with a brief introduc
tion of the notion of vertex algebras and explain applications of Ising ve
ctors in vertex algebra theory. In some way\, Ising vectors play a role si
milar to that of roots in Lie theory. For instance\, one can define involu
tions of vertex algebras attached with Ising vectors something like reflec
tions in Lie theory. Recently\, we have a complete classification of a cla
ss of vertex algebras generated by Ising vectors under certain assumptions
. This result is based on joint works with Cuipo Jiang and Ching Hung Lam:
\n \n https://arxiv.org/abs/1803.01385 and https://arxiv.or
g/abs/2312.09713\n\nZoom\nMeeting ID: 991 6380 9780\nPasscode: 2222\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yoshiharu Kohayakawa (Univ. São Paulo\, Brazil)
DTSTART:20240918T123000Z
DTEND:20240918T133000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/23
DESCRIPTION:Title: Arithmetic Progressions in Sumsets and in Subsetsums of Sparse
Random Sets\nby Yoshiharu Kohayakawa (Univ. São Paulo\, Brazil) as pa
rt of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nGiven a set 𝐴\,
its sumset 𝐴+𝐴 is defined as the set of all sums of pairs of elemen
ts of 𝐴. Given 𝑝: ℕ→[0\,1]\, we let 𝐴_𝑛=[𝑛]_𝑝 be the
𝑝-random subset of [𝑛]={1\, …\,𝑛} and consider 𝑚^∗=𝑚^
∗ (𝑛)\, the largest 𝑚 for which 𝐴_𝑛+𝐴_𝑛 contains an
𝑚-element arithmetic progression with high probability. We shall see th
at for certain choices of 𝑝_−=𝑝_− (𝑛) and 𝑝_+=𝑝_+ (𝑛
) with 𝑝_−≤𝑛^(−1/2)≤𝑝_+ and 𝑝_+∕𝑝_− =(log
𝑛 )^𝜔\, where 𝜔 can be chosen to grow arbitrarily slowly\, for
𝑝≤𝑝_− we have 𝑚^∗≪log𝑛∕loglog𝑛 and for
𝑝≥𝑝_+ we have 𝑚^∗=Θ(𝑛). Furthermore\, if 𝑝≥𝑛^(
−1/2+𝜖) for any fixed 𝜖>0\, then long progressions exist in the su
mset of any positive density subset of 𝐴_𝑛: with high probability\,
for any subset 𝑆 of 𝐴_𝑛 with a fixed proportion of elements of
𝐴_𝑛\, the sumset 𝑆+𝑆 contains arithmetic progressions with 2^(
Ω(√log𝑛)) elements.\n\nZoom\,\nMeeting ID: 951 1656 5434\nPasscod
e: 1111\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jasmin Raissy (Bordeaux\, France)
DTSTART:20241016T123000Z
DTEND:20241016T133000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/24
DESCRIPTION:Title: Holomorphic Dynamics: Order and Chaos\nby Jasmin Raissy (Bo
rdeaux\, France) as part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstra
ct\nIn this talk\, we will discuss recurrent series of complex numbers\, t
heir limit values and their links to the Mandelbrot set and fractals. We w
ill introduce the dynamical systems generated by the iteration of a holomo
rphic function: after describing the dynamical partition between the stabl
e part (the Fatou set) and its chaotic complement (the Julia set)\, we wil
l study the classification of all possible invariant components of the sta
ble set. If time allows\, we will conclude with some recent results on wan
dering domains.\n\nZoom: \nMeeting ID: 924 4547 1632\nPasscode: 1111\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Li Guo (Rutgers Univ. – Newark USA)
DTSTART:20241030T123000Z
DTEND:20241030T133000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/25
DESCRIPTION:Title: Algebraic Structures from Integral Equations\nby Li Guo (Ru
tgers Univ. – Newark USA) as part of IPM-Isfahan Mathematics Colloquium\
n\n\nAbstract\nEven though the research styles of algebra and analysis are
quite different\, many algebraic structures naturally arose from analysis
\, differential equations and integral equations\, inspiring further appli
cations in broad areas of mathematics and mathematical physics. This talk
gives an introduction to these algebraic structures\, including differenti
al algebras\, Rota-Baxter algebras and Reynolds algebras.\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ivan Dimitrov (Queen's University)
DTSTART:20250206T063000Z
DTEND:20250206T073000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/26
DESCRIPTION:Title: Generalized Root Systems\nby Ivan Dimitrov (Queen's Univers
ity) as part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nI will p
resent a generalization of the notion of a root system by relaxing the con
ditions that ensure that it is invariant under reflections. The resulti
ng structures\, called generalized root systems (GRSs for short)\, apart f
rom root systems include Kostant root systems and root systems of Lie supe
ralgebras. As a result\, studying GRSs provides a uniform axiomatic approa
ch to studying all of the above structures. GRSs inherit many of the prope
rties of root systems but also differ from them in significant ways. An im
portant difference between GRSs and root systems is that GRSs may lack a (
large enough) Weyl group. In order to compensate for this\, we introduce t
he notion of a virtual reflection\, building on a construction of Penkov a
nd Serganova in the context of root systems of Lie superalgebras. The most
significant new feature of GRSs is that\, along with subsystems\, one can
define quotient GRSs. Both Kostant root systems and root systems of Lie s
uperalgebras are equivalent to quotients of root systems and all root syst
ems are isomorphic to quotients of simply-laced root systems. In this tal
k I will define GRSs\, discuss their properties and provide a classificati
on result. The talk is based on a joint work with Rita Fioresi.\n\nZoom:\n
Meeting ID: 953 4424 0435\nPasscode: 8888\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wei Li (AMSS\, Chinese Academy of Sciences)
DTSTART:20250227T060000Z
DTEND:20250227T070000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/27
DESCRIPTION:Title: Generic Intersection Theory and Chow Forms in Differential Al
gebraic Geometry\nby Wei Li (AMSS\, Chinese Academy of Sciences) as pa
rt of IPM-Isfahan Mathematics Colloquium\n\n\nAbstract\nDifferential algeb
ra or differential algebraic geometry is a branch of mathematics founded b
y Ritt and Kolchin aiming to study differential equations in a similar way
in which polynomial equations are studied in commutative algebra or algeb
raic geometry. Therefore\,basic notions and results of differential algebr
a are based on those of algebraic geometry. However\, for many results in
algebraic geometry\, their differential counterparts are much more difficu
lt to prove and some of them are still open problems. In this talk\, we wi
ll first give a brief introduction to the basics of differential algebra\,
and then talk about our work on two naturally connected problems in diffe
rential algebraic geometry: the differential dimension conjecture for gene
ric differential polynomials\, and the theory of differential Chow forms a
nd Chow varieties.\n\nZoom:\nMeeting ID: 926 5700 6299 \nPasscode: 2222\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yilin Wang (IHES\, France)
DTSTART:20250305T123000Z
DTEND:20250305T133000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/28
DESCRIPTION:Title: The Brownian Loop Measure on Riemann Surfaces and Applications
to Length Spectra\nby Yilin Wang (IHES\, France) as part of IPM-Isfaha
n Mathematics Colloquium\n\n\nAbstract\nThe goal of this talk is to showca
se how we can use stochastic processes to study the geometry of surfaces.
More precisely\, we use the Brownian loop measure to express the lengths o
f closed geodesics on a hyperbolic surface and zeta-regularized determinan
t of the Laplace-Beltrami operator. This gives a tool to study the length
spectra of a hyperbolic surface and we obtain a new identity between the l
ength spectrum of a compact surface and that of the same surface with an a
rbitrary number of additional cusps. This is based on a joint work with Yu
hao Xue (IHES).\n\nZoom:\nMeeting ID: 968 2589 3244\nPasscode: 4444\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chih-Whi Chen (National Central University\, Taiwan)
DTSTART:20250416T133000Z
DTEND:20250416T143000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/29
DESCRIPTION:Title: Whittaker Modules for Quasi-reductive Lie Superalgebras and Pri
ncipal Finite W-superalgebras\nby Chih-Whi Chen (National Central Univ
ersity\, Taiwan) as part of IPM-Isfahan Mathematics Colloquium\n\n\nAbstra
ct\nWe study the Whittaker modules associated with a nilcharacter over a q
uasi-reductive Lie superalgebra. In this talk\, we present some constructi
ons of simple Whittaker modules for a basic classical and a strange Lie su
peralgebras. In the case when the nilcharacter is regular\, we explain a K
ostant-Skryabin type equivalence between the category of Whittaker modules
and the category of finite-dimensional modules over the associated princi
pal finite W-superalgebra. This allows us to give a super analogue of Soer
gel’s Struktursatz for a certain Whittaker functor from the integral BGG
category 𝒪 to the module category of the principal finite W-superalgeb
ras. This is a joint work with Shun-Jen Cheng.\n\nZoom:\nMeeting ID: 987 0
504 8182\nPasscode: 4444\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Giovanna Carnovale (Università di Padova\, Italy)
DTSTART:20250521T123000Z
DTEND:20250521T133000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/30
DESCRIPTION:Title: Nichols Algebras over Finite Simple Groups\nby Giovanna Ca
rnovale (Università di Padova\, Italy) as part of IPM-Isfahan Mathematics
Colloquium\n\n\nAbstract\nNichols algebras\, also known as small shuffle
algebras\, are graded algebras constructed from a vector space V and a sol
ution of the braid equation on the two-fold tensor product of V. Notabl
e examples are: the symmetric algebra on V\, the exterior algebra on V\, t
he positive part of quantized enveloping algebras of semisimple Lie agebra
s. We will focus on the case in which V is a suitable graded representatio
n of a group G. According to a folklore conjecture\, if G is a non-abelian
finite simple group\, the associated Nichols algebra is always inifinit
e-dimensional. I will report on the status of this conjecture\, based on a
series of joint works obtained in collaboration with N. Andruskiewitsch\,
G. García\, M. Costantini.\n\nZoom:\nMeeting ID: 936 6771 9469\nPasscode
: 8888\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rita Fioresi (University of Bologna\, Italy)
DTSTART:20251001T120000Z
DTEND:20251001T130000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/31
DESCRIPTION:Title: Admissible Positive Systems of Contragredient Lie Super Algebra
s\nby Rita Fioresi (University of Bologna\, Italy) as part of IPM-Isfa
han Mathematics Colloquium\n\n\nAbstract\nFor a simple complex Lie algebra
\, given an involution\, we get its complex Cartan decomposition into +1 a
nd -1 eigenspaces and a real form associated with it. Whenever this real f
orm has the same rank as its maximal compact subalgebra\, the complex Cart
an decomposition further allows to decompose the -1 eigenspace into the su
m of positive or negative root spaces\, once a positive system is chosen.
The existence of a complex structure on the quotient of the real Lie algeb
ra by its maximal compact subalgebra is linked with the existence of an ad
missible positive system\, that is a positive system with an extra propert
y. In this talk we see an extension of this theory\, originally discovered
by Harish-Chandra in the context of Harish-Chandra representations\, to t
he case of contragredient superalgebras and affine algebras. We also discu
ss an extension to the case where the involution is replaced by a finite o
rder automorphism. This talk is based on joint work with M.-K. Chuah and I
. Dimitrov.\n\nZoom\nMeeting ID: 932 0741 8684\nPasscode: 4444\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Song-Yan Xie (Chinese Academy of Sciences)
DTSTART:20251106T073000Z
DTEND:20251106T083000Z
DTSTAMP:20260404T094427Z
UID:IPMIsfahan/32
DESCRIPTION:Title: A Second Main Theorem for Entire Curves Intersecting Three Coni
cs\nby Song-Yan Xie (Chinese Academy of Sciences) as part of IPM-Isfah
an Mathematics Colloquium\n\n\nAbstract\nWe establish a Second Main Theore
m for entire holomorphic curves 𝑓:ℂ→ℙ^2 intersecting a generic co
nfiguration of three conics in the complex projective plane. By means of
invariant logarithmic 2-jet differentials with negative twist\, we prove t
he estimate\n\n 𝑇_(𝑓(𝑟))≤5∑1_(𝑖=
1)^3 𝑁_𝑓^[1] (𝑟\,𝒞_𝑖 )+𝑂(𝑇_(𝑓(𝑟)))\n\nwhere
𝑇_(𝑓(𝑟)) is the Nevanlinna characteristic function and 𝑁_𝑓^
[1] (𝑟\,𝒞_𝑖 ) is the 1-truncated counting function\n\nZoom:\n\nM
eeting ID: 904 217 9424\nPasscode: 4444\n
LOCATION:https://stable.researchseminars.org/talk/IPMIsfahan/32/
END:VEVENT
END:VCALENDAR