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BEGIN:VEVENT
SUMMARY:Kiumars Kaveh (University of Pittsburgh)
DTSTART:20211102T130000Z
DTEND:20211102T143000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/1
DESCRIPTION:Title: Vector bundles on toric varieties\nby Kiumars Kaveh (Univers
ity of Pittsburgh) as part of IPM Algebraic Geometry Seminar\n\n\nAbstract
\nIn this talk we review construction of toric varieties and classificatio
n of (torus equivariant) line bundles and vector bundles on them (after Kl
yachko). We interpret Klyachko's data of a vector bundle as a "piecewise l
inear map" into the Tits building of the general linear group GL(r). This
"building" perspective helps to approach many questions about vector bundl
es on toric varieties in a new light. As an application of this idea\, we
obtain a classification of (torus equivariant) vector bundles on toric sch
emes in terms of "piecewise affine maps" to the Bruhat-Tits building of GL
(r). This is work in progress with Chris Manon and Boris Tsvelikhovsky. I
try to cover most of the background material.\n\nhttps://zoom.us/join\n\nM
eeting ID: 9086116889\n\nPasscode: 13440 $\\times$ the number of lines on
a cubic surface\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amir Jafari (Sharif University of Technology)
DTSTART:20211116T130000Z
DTEND:20211116T143000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/2
DESCRIPTION:Title: Grothendieck Galois theory and some of its applications in combi
natorics\nby Amir Jafari (Sharif University of Technology) as part of
IPM Algebraic Geometry Seminar\n\n\nAbstract\nThis is going to be a report
of my ongoing joint research project with Mr. Moghaddamzadeh on finite pr
ojective geometries. However\, a good portion of the talk will be spent on
explaining Grothendieck's generalizations of Galois theory.\n\nhttps://zo
om.us/join\n\nMeeting ID: 9086116889\n\nPasscode: 13440 $\\times$ the numb
er of lines on a cubic surface\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amin Gholampour (University of Maryland)
DTSTART:20211130T130000Z
DTEND:20211130T143000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/3
DESCRIPTION:Title: 2-dimensional stable pairs on 4-folds\nby Amin Gholampour (U
niversity of Maryland) as part of IPM Algebraic Geometry Seminar\n\n\nAbst
ract\nI will discuss a 2-dimensional stable pair theory of nonsingular com
plex 4-folds that is parallel to Pandharipande-Thomas' 1-dimensional stabl
e pair theory of 3-folds. The stable pairs of a 4-fold are related to its
2-dimensional subschemes via wall-crossings in the space of polynomial sta
bility conditions. In Calabi-Yau case\, Oh-Thomas theory is applied to def
ine invariants counting these stable pairs under some restrains. This is a
joint work with Yunfeng Jiang and Jason Lo.\n\nhttps://zoom.us/join\n\nMe
eting ID: 9086116889\n\nPasscode: 13440 $\\times$ the number of lines on a
cubic surface\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Abbas Nasrollah Nejad (Institute for Advanced Studies in Basic Sci
ences)
DTSTART:20211214T130000Z
DTEND:20211214T143000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/4
DESCRIPTION:Title: The relation type of singular space of hypersurfaces\nby Abb
as Nasrollah Nejad (Institute for Advanced Studies in Basic Sciences) as p
art of IPM Algebraic Geometry Seminar\n\n\nAbstract\nIn this talk\, we wil
l introduce the notion of relation type of formal and analytic algebras an
d show that it is well defined by using of André-Quillen homology. In par
ticular\, the relation type is an invariant of an affine algebraic variety
and a complex space germ. We will discuss and essay to explain the relati
on type of singular subscheme of isolated hypersurface singularities. This
talk is based on joint ongoing work with Maryam Akhavin.\n\nhttps://zoom.
us/join\n\nMeeting ID: 9086116889\n\nPasscode: 13440 $\\times$ the number
of lines on a cubic surface\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tahereh Aladpoosh (Institute for Research in Fundamental Sciences
(IPM))
DTSTART:20211228T130000Z
DTEND:20211228T143000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/5
DESCRIPTION:Title: Postulation of generic lines and a multiple line in $\\mathbb{P}
^n$\nby Tahereh Aladpoosh (Institute for Research in Fundamental Scien
ces (IPM)) as part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nA well
-known theorem by Hartshorne and Hirschowitz states that a generic configu
ration of lines has good postulation. So what about non-reduced configurat
ions? Can adding a multiple line to the configuration still preserve it’
s good postulation? This is the question we mainly deal with in this talk.
In the first part of the talk we introduce the postulation problem for pr
ojective schemes\, then we discuss the problem for the family of schemes s
upported on generic linear configurations\, which are the ones of particul
ar interest. In the second part of the talk we focus on the postulation of
generic lines and one multiple line in projective space. We give our main
theorem providing a complete description to the case of lines and a doubl
e line\, then we propose a conjecture to the general case\, finally we dis
cuss what is known about the conjecture and more recent results on it.\n\n
https://zoom.us/join\n\nMeeting ID: 9086116889\n\nPasscode: 13440 $\\times
$ the number of lines on a cubic surface\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Esmail Arasteh Rad (Institute for Research in Fundamental Sciences
(IPM))
DTSTART:20220125T130000Z
DTEND:20220125T143000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/6
DESCRIPTION:Title: Rapoport-Zink spaces for local ℙ-shtukas\nby Esmail Araste
h Rad (Institute for Research in Fundamental Sciences (IPM)) as part of IP
M Algebraic Geometry Seminar\n\n\nAbstract\nRapoport-Zink spaces for p-div
isible groups are local counterparts for Shimura varieties. According to t
he dictionary between function fields and number fields\, they correspond
to the RZ-spaces for local P-shtukas. We review the construction of these
moduli spaces and then discuss our approach for computing the semi-simple
trace of Frobenius on their (nearby-cycles) cohomology.\n\nhttps://zoom.us
/join\n\nMeeting ID: 9086116889\n\nPasscode: 13440 $\\times$ the number of
lines on a cubic surface\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amir Nasr (Institute for Research in Fundamental Sciences (IPM))
DTSTART:20220208T103000Z
DTEND:20220208T120000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/7
DESCRIPTION:Title: Toric quiver varieties\nby Amir Nasr (Institute for Research
in Fundamental Sciences (IPM)) as part of IPM Algebraic Geometry Seminar\
n\n\nAbstract\nWe discuss the smoothness of toric quiver varieties. When a
quiver $Q$ is defined with the identity dimension vector\, the correspon
ding quiver variety is also a toric variety. So it has a fan representatio
n and a quiver representation. I consider only quivers with canonical weig
ht and we classify smooth such toric quiver varieties. I show that a varie
ty corresponding to a quiver with the identity dimension vector and the ca
nonical weight is smooth if and only if it is a product of projective spac
es or their blowups.\n\nhttps://zoom.us/join\n\nMeeting ID: 9086116889\n\n
Passcode: 13440 $\\times$ the number of lines on a cubic surface\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ali Bajravani (Azarbaijan Shahid Madani University)
DTSTART:20220222T130000Z
DTEND:20220222T143000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/8
DESCRIPTION:Title: Stable vector bundles on curves and their Brill-Noether theory\nby Ali Bajravani (Azarbaijan Shahid Madani University) as part of IPM
Algebraic Geometry Seminar\n\n\nAbstract\nWe discuss some stricking proper
ties of stable vector bundles over curves\, which are frequently used in m
oduli and Brill-Noether arguments of these bundles. Then\, after a quick h
istorical surf in the topic\, we give an upper bound for dimensions of Bri
ll-Noether schemes of rank 2 stable vector bundles.\n\nhttps://zoom.us/joi
n\n\nMeeting ID: 9086116889\n\nPasscode: 13440 $\\times$ the number of lin
es on a cubic surface\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hassan Haghighi (K. N. Toosi University of Technology)
DTSTART:20220308T130000Z
DTEND:20220308T143000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/9
DESCRIPTION:Title: Unexpected hypersurfaces: some examples\, a few constructions\nby Hassan Haghighi (K. N. Toosi University of Technology) as part of IP
M Algebraic Geometry Seminar\n\n\nAbstract\nIn recent years\, a novel atti
tude to the classical problem of identifying and classifying special line
ar systems in projective $n$ space\, has been emerged.\nFor a subvariety $
Z$ of the projective $n$ space with defining ideal $I$\, let $P_1\,\\dots
\,P_s$ be general distinct points in this space and let $m_1\,\\dots\,m_s$
be positive integers which at least\none of them is greater than one. On
the subspace of those elements of degree $d$ part of the homogeneous ideal
$I$ which vanish at $P_i$ with multiplicity at least $m_i$\, each fat poi
nt $m_iP_i$ defines a specific number of linear relations on this subspace
. For a given set of points $P_i$ with multiplicity $m_i$\, $1\\le i \\le
s$\, it is expected that these linear equations to be linearly independent
. If it is not the case\, then one says that the variety $Z$ admits an une
xpected hypersurface with respect to fat point subscheme defined by these
fat points\, and this linear subspace is called a special linear system on
the variety $Z$. Each element of this subspace\, defines a hypersurface\,
known as unexpected hypersurface.\nIn this talk\, we review some interest
ing examples which brought into the scene with this new approach and expla
in some existing methods to construct unexpected hypersurfaces.\n\nhttps:/
/zoom.us/join\n\nMeeting ID: 9086116889\n\nPasscode: 13440 $\\times$ the n
umber of lines on a cubic surface\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Takuya Murata (Institute for Research in Fundamental Sciences (IPM
))
DTSTART:20220412T120000Z
DTEND:20220412T133000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/10
DESCRIPTION:Title: A map to a toric variety and construction of a toric degenerati
on\nby Takuya Murata (Institute for Research in Fundamental Sciences (
IPM)) as part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nIn the firs
t part of the talk\, I consider a map to a toric\nvariety\, a generalizati
on of a map to a projective space (also known\nas a linear system). A toru
s embedding is a special case of such a map\nand thus the notion can be th
ought of as a generalization of a torus\nembedding or\, when the map is fl
at\, a generalization of a vector\nbundle on or a covering map of a toric
variety. The work on this part\nis a joint work with Lara Bossinger.\nIn t
he second part\, I consider a toric degeneration (= degeneration to\na tor
ic variety) with the focus on a construction of it. Instead of a\ngeneral
construction\, I will discuss illustrative examples. Depending\non time\,
I will also discuss some applications of toric degenerations.\n\nhttps://z
oom.us/join\n\nMeeting ID: 9086116889\n\nPasscode: 13440 $\\times$ the num
ber of lines on a cubic surface\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hamid Abban (Loughborough University)
DTSTART:20220426T120000Z
DTEND:20220426T133000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/11
DESCRIPTION:Title: What is K-stability?\nby Hamid Abban (Loughborough Universi
ty) as part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nK-stability i
s an algebraic notion introduced by Tian and Donaldson to characterise whi
ch Fano manifolds admit a Kähler-Einstein metric. There are various equiv
alent definitions for K-stability\, amongst them the more recent ones are
based on valuative criteria and are more useful from a birational point of
view. In this talk\, I will give an introduction to the subject\, from a
birational viewpoint\, and explain some key questions and developments in
the field\, mostly around methods of verifying K-stability. This is based
on joint work with Ziquan Zhuang.\n\nhttps://zoom.us/join\n\nMeeting ID: 9
086116889\n\nPasscode: 13440 $\\times$ the number of lines on a cubic surf
ace\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ciro Ciliberto (University of Rome Tor Vergata)
DTSTART:20220510T120000Z
DTEND:20220510T133000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/12
DESCRIPTION:Title: Enumeration in geometry\nby Ciro Ciliberto (University of R
ome Tor Vergata) as part of IPM Algebraic Geometry Seminar\n\n\nAbstract\n
Enumeration of geometric objects verifying some specific properties is an
old and venerable subject. In this talk I will start by briefly reviewin
g some of its history and problems. In the last decades\, enumerative geom
etry saw the flourishing of new problems and underwent a tremendous change
of perspective and a spectacular progress\, with the introduction of extr
emely refined new mathematical ideas and tools which launched unexpected b
ridges between different parts of mathematics. This has been due also\, so
metimes mainly\, to the input of questions coming from physics. New insigh
ts have also been provided by discretization methods in algebraic geometry
introduced by the so--called tropical mathematics\, which\, by the way\,
has quite interesting applications in phylogenetics. Being impossible to p
resent all this material in a one hour talk\, I will limit myself to give
general information on some aspects of these topics\, the ones which are c
loser to my own research and (limited) knowledge.\n\nhttps://zoom.us/join
\n\nMeeting ID: 9086116889\n\nPasscode: 13440 $\\times$ the number of line
s on a cubic surface\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Luca Chiantini (University of Siena)
DTSTART:20220524T120000Z
DTEND:20220524T133000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/13
DESCRIPTION:Title: Configurations of points and tensor analysis\nby Luca Chian
tini (University of Siena) as part of IPM Algebraic Geometry Seminar\n\n\n
Abstract\nI will make an overview on the theory of secant varieties to pro
jective varieties\,\nstarting with fundamental motivations and basic tool
s\, and focusing on\nsome recent developments of the theory. The general p
attern shows that properties of secant varieties\nto X are intimately rela
ted with the geometry of its configurations of points\, thus\nwith the int
rinsic geometry of the variety X. The recent awareness of strong connectio
ns\nbetween the theory of secant varieties and multilinear algebra\nsugges
ts several lines of investigations which involve highly sophisticated geom
etric tools\,\nand poses questions on projective loci that represent a cha
llenge for the\ndevelopment of Algebraic Geometry.\n\nhttps://zoom.us/join
\n\nMeeting ID: 9086116889\n\nPasscode: 13440 $\\times$ the number of line
s on a cubic surface\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hossein Movasati (IMPA)
DTSTART:20220607T120000Z
DTEND:20220607T133000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/14
DESCRIPTION:Title: Hodge conjecture\nby Hossein Movasati (IMPA) as part of IPM
Algebraic Geometry Seminar\n\n\nAbstract\nHodge conjecture is one of the
major conjectures in complex algebraic geometry which is\n still unsolved.
In this talk I will tell my own experience with this conjecture\, why it
is hard even in very \n special cases and what are the implications of thi
s conjecture. The talk is mainly based on my book: \n A Course in Hodge T
heory: With Emphasis on Multiple Integrals\, Somerville\, MA: Internation
al Press Boston\, 2021.\n\nhttps://zoom.us/join\n\nMeeting ID: 9086116889\
n\nPasscode: 13440 $\\times$ the number of lines on a cubic surface\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sandra Di Rocco (KTH\, Sweden)
DTSTART:20221018T130000Z
DTEND:20221018T143000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/15
DESCRIPTION:Title: Geometry of algebraic data\nby Sandra Di Rocco (KTH\, Swede
n) as part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nIt is often co
nvenient to visualize algebraic varieties (and hence systems of polynomial
equations) by sampling. The key challenge is to have the right distributi
on and density in order to recover the shape\, i.e the topology of the var
iety. Bottlenecks are pairs of points on the variety joined by a line whic
h is normal to the variety at both points. These points play a special rol
e in determining the appropriate density of a point-sample. Under suitable
genericity assumptions the number of bottlenecks of an affine variety is
finite and is called the bottleneck degree. Estimations of the bottleneck
degree and certain generalizations lead to efficient sampling techniques.
We will show how classical projective algebraic geometry has proven very u
seful in this analysis. The talk is based on joint work with D. Eklund\, P
. Edwards\, O. Gäfvert\, J Hauenstein\, M. Weinstein.\n\nhttps://zoom.us/
join\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Farbod Shokrieh (University of Washington\, USA)
DTSTART:20221101T130000Z
DTEND:20221101T143000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/16
DESCRIPTION:Title: Heights and moments of abelian varieties\nby Farbod Shokrie
h (University of Washington\, USA) as part of IPM Algebraic Geometry Semin
ar\n\n\nAbstract\nWe give a formula which\, for a principally polarized ab
elian variety $(A\, \\lambda)$ over a number field (or a function field)\,
relates the stable Faltings height of $A$ with the N\\'eron--Tate height
of a symmetric theta divisor on $A$. Our formula involves invariants arisi
ng from tropical geometry. We also discuss the case of Jacobians in some d
etail\, where graphs and electrical networks will play a key role. (Based
on joint works with Robin de Jong.)\n\nhttps://zoom.us/join\n\nMeeting ID:
9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Giorgio Ottaviani (University of Florence\, Italy)
DTSTART:20221115T110000Z
DTEND:20221115T123000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/17
DESCRIPTION:Title: The Hessian map\nby Giorgio Ottaviani (University of Floren
ce\, Italy) as part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nIn a
joint work with C. Ciliberto we study the Hessian map h_{d\,r} which assoc
iates to any hypersurface of degree d>=3 in P^r its Hessian hypersurface\,
which is the determinant of the Hessian matrix. We prove that h_{d\,r} is
generically finite unless h_{3\,1}\, and in the binary case h_{d\,1} is b
irational onto its image if d>=5\, which is sharp. We conjecture that h_{d
\,r} is birational onto its image unless h_{3\,1}\, h_{4\,1} and h_{3\,2}\
, these exceptional cases were well known in classical geometry.\n\nThe fi
rst evidence for our conjecture is given by h_{3\,3} (the case of cubic su
rfaces) which is again birational onto its image.\n\nhttps://zoom.us/join\
n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yuri Prokhorov (Steklov Mathematical Institute\, Moscow State Univ
ersity\, Russia)
DTSTART:20221129T130000Z
DTEND:20221129T143000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/18
DESCRIPTION:Title: Finite groups of birational transformations\nby Yuri Prokho
rov (Steklov Mathematical Institute\, Moscow State University\, Russia) as
part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nFirst\, I survey kn
ow results on finite groups of birational transformations of higher-dimens
ional algebraic varieties. This theory has been significantly developed du
ring the last 10 years due to the success of the minimal model program.
\nThen I will talk about finite groups of birational transformations of
surfaces\nover fields of positive characteristic.\nIn particular\, I will
discuss a recent result on Jordan property of Cremona groups over finite f
ields (joint with Constantin Shramov).\n\nhttps://zoom.us/join\n\nMeeting
ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Azizeh Nozad (IPM\, Iran)
DTSTART:20221220T110000Z
DTEND:20221220T123000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/20
DESCRIPTION:Title: Serre polynomials and geometry of character varieties\nby A
zizeh Nozad (IPM\, Iran) as part of IPM Algebraic Geometry Seminar\n\n\nAb
stract\nWith G a complex reductive group\, let XrG denote the G-character
varieties of free group Fr\, of rank r\, and XirrG ⊂ XrG be the locus of
irreducible representation conjugacy classes. In this talk we shall prese
nt a result showing that the mixed Hodge structures on the cohomology grou
ps of XrSLn and of XrPGLn\, and on the compactly supported cohomology grou
ps of the irreducible loci XirrSLn and XirrPGLn are isomorphic\, for any n
\,r ∈ N. The proof uses a natural stratification of XrG by polystable ty
pe coming from affine GIT and the combinatorics of partitions. In particul
ar\, this result would imply their E-polynomials coincide\, settling the q
uestion raised by Lawton-Muñoz. This is based on joint work with Carlos
Florentino and Alfonso Zamora.\n\nhttps://zoom.us/join\n\nMeeting ID: 9086
116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Antonio Laface (University of Concepción (Chile))
DTSTART:20230215T140000Z
DTEND:20230215T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/21
DESCRIPTION:Title: On effective cones of algebraic surfaces\nby Antonio Laface
(University of Concepción (Chile)) as part of IPM Algebraic Geometry Sem
inar\n\n\nAbstract\nIt is an open problem to describe the shape of the eff
ective cone of\nan algebraic surface. Nagata conjecture predicts part of t
his shape\nwhen the surface is the blow-up of the projective plane at gene
ral\npoints. More recently Ciliberto and Kouvidakis proved that Nagata\nco
njecture implies that the two-dimensional effective cone of the\nsymmetric
product C_2 of a general\, genus g > 9\, curve C is open on\none side whe
never g is not a square.\nIn this talk I will show that the effective cone
of the blow-up of C_2\nat a general point is non-polyhedral for a general
positive genus\ncurve C. This result generalizes previous statements of J
.F. García\nand G. McGrat about the genus 1 case. To prove the statement
we first\nshow that having polyhedral effective cone is a closed property
for\nfamilies of surfaces having the same Picard group and then we prove i
t\nin the hyperelliptic case.\nThis is joint work with Luca Ugaglia.\n\nht
tps://zoom.us/join\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amir Hashemi (Isfahan University of Technology (Iran))
DTSTART:20230301T140000Z
DTEND:20230301T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/22
DESCRIPTION:Title: On the computation of staggered linear bases\nby Amir Hashe
mi (Isfahan University of Technology (Iran)) as part of IPM Algebraic Geom
etry Seminar\n\n\nAbstract\nGrobner bases are a powerful tool in polynomia
l ideal theory with many applications in various areas of science and engi
neering. A Grobner basis is a particular generating set for a given ideal
which represents many useful properties of the ideal. The general theory
of Grobner bases along with the first algorithm for constructing them were
introduced by Buchberger in 1965 in his Ph.D. thesis. An staggered linear
basis is indeed a linear basis containing a Grobner basis for a given ide
al. This notion was first introduced by Gebauer and Moller in 1988\, howev
er the algorithm that they described for computing these bases was not com
plete. In this talk\, we first give a brief overview on the theory of Grob
ner bases (as well as of staggered linear bases) and then present a simple
algorithm for computing staggered linear bases.\n\nhttps://zoom.us/join\n
\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Carolina Araujo (IMPA (Brazil))
DTSTART:20230426T140000Z
DTEND:20230426T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/23
DESCRIPTION:Title: The Calabi problem for Fano threefolds\nby Carolina Araujo
(IMPA (Brazil)) as part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nT
he Calabi Problem is a formidable problem in the confluence of differentia
l and algebraic geometry. It asks which compact complex manifolds admit a
Kähler-Einstein metric. A necessary condition for the existence of such a
metric is that the canonical class of the manifold has a definite sign. F
or manifolds with zero or positive canonical class\, the Calabi problem wa
s solved by Yau and Aubin/Yau in the 1970s. They confirmed Calabi's predic
tion\, showing that these manifolds always admit a Kähler-Einstein metric
. On the other hand\, for projective manifolds with negative canonical cla
ss\, called “Fano manifolds”\, the problem is much more subtle: Fano m
anifolds may or may not admit a Kähler-Einstein metric. The Calabi proble
m for Fano manifolds has attracted much attention in the last decades\, re
sulting in the famous Yau-Tian-Donaldson conjecture. The conjecture\, whic
h is now a theorem\, states that a Fano manifold admits a Kähler-Einstein
metric if and only if it satisfies a sophisticated algebro-geometric cond
ition\, called “K-polystability”. In the last few years\, tools from b
irational geometry have been used with great success to investigate K-poly
stability. In this talk\, I will present an overview of the Calabi problem
\, the recent connections with birational geometry\, and the current state
of the art in dimension 3.\n\nhttps://zoom.us/join\n\nMeeting ID: 9086116
889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Paolo Cascini (Imperial College London (UK))
DTSTART:20230524T140000Z
DTEND:20230524T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/24
DESCRIPTION:Title: On the Minimal Model Program for complex foliated varieties
\nby Paolo Cascini (Imperial College London (UK)) as part of IPM Algebraic
Geometry Seminar\n\n\nAbstract\nI will survey some recent developments re
garding the minimal model program for foliations defined over a complex al
gebraic variety\, together with some applications towards the study of fib
rations in birational geometry.\n\nzoom.us/join\n\nMeeting ID: 9086116889\
n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jihun Park (IBS Center for Geometry and Physics\, POSTECH (Korea))
DTSTART:20230607T100000Z
DTEND:20230607T113000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/25
DESCRIPTION:Title: Sasaki-Einstein 5-manifolds and del Pezzo surfaces\nby Jihu
n Park (IBS Center for Geometry and Physics\, POSTECH (Korea)) as part of
IPM Algebraic Geometry Seminar\n\n\nAbstract\nThis talk briefly explains h
ow to find closed simply connected Sasaki-Einstein 5-manifolds from K-stab
le log del Pezzo surfaces. It then lists closed simply connected 5-manifol
ds that are known so far to admit Sasaki-Einstein metrics. It also present
s possible candidates for Sasaki-Einstein 5- manifolds to complete the cla
ssification of closed simply connected Sasaki-Einstein 5-manifolds.\n\nzoo
m.us/join\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lutz Hille (University of Münster (Germany))
DTSTART:20230510T140000Z
DTEND:20230510T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/26
DESCRIPTION:Title: Polynomial invariants for triangulated categories with full exc
eptional sequences\nby Lutz Hille (University of Münster (Germany)) a
s part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nFor a full excepti
onal sequence of vector bundles on the projective plane there is a remarka
ble equation\, the so-called Markov equation\, in terms of the ranks of th
e three vector bundles. This equation\, slightly modified\, has been used
in a joint work with Beineke and Brüstle for cluster mutations for quiver
s with three vertices. The aim of this talk is to define the natural gener
alization for full exceptional sequences with n members. This leads to the
notion of a polynomial invariant\, that is a polynomial in indeterminants
x(i\,j) for iHyperkahler manifolds and Lagrangian fibrations\nby Elham I
zadi (University of California\, San Diego) as part of IPM Algebraic Geome
try Seminar\n\n\nAbstract\nThis is mostly an introduction to and short sur
vey of hyperkahler manifolds and Lagrangian fibrations\, including some kn
own results and some open problems.\n\nzoom.us/join\n\nMeeting ID: 9086116
889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bernd Sturmfels (Max Planck Institute for Mathematics in the Scien
ces\, Leipzig & University of California\, Berkeley)
DTSTART:20231018T140000Z
DTEND:20231018T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/28
DESCRIPTION:Title: Algebraic Varieties in Quantum Chemistry\nby Bernd Sturmfel
s (Max Planck Institute for Mathematics in the Sciences\, Leipzig & Univer
sity of California\, Berkeley) as part of IPM Algebraic Geometry Seminar\n
\n\nAbstract\nWe discuss the algebraic geometry behind coupled cluster (CC
) theory of quantum many-body systems.\nThe high-dimensional eigenvalue pr
oblems that encode the electronic Schroedinger equation are approximated b
y a \nhierarchy of polynomial systems at various levels of truncation. The
exponential parametrization of the eigenstates\ngives rise to truncation
varieties. These generalize Grassmannians in their Pluecker embedding. We
explain how \nto derive Hamiltonians\, we offer a detailed study of trunca
tion varieties and their CC degrees\, and we present the \nstate of the ar
t in solving the CC equations. This is joint work with Fabian Faulstich an
d Svala Sverrisdóttir.\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\nPassc
ode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Steven Dale Cutkosky (University of Missouri)
DTSTART:20231101T140000Z
DTEND:20231101T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/29
DESCRIPTION:Title: Generating sequences of valuations\nby Steven Dale Cutkosky
(University of Missouri) as part of IPM Algebraic Geometry Seminar\n\n\nA
bstract\nSuppose that $(K\,v_0)$ is a valued field\, $f(x)\\in K[x]$ is a
monic and irreducible polynomial and $(L\,v)$ is an extension of valued fi
elds\, where $L=K[x]/(f(x))$. Let $A$ be a local domain with quotient fiel
d $K$ dominated by the valuation ring of $v_0$ and such that $f(x)$ is in
$A[x]$. The study of these extensions is a classical subject. In this talk
\, we discuss the history of this subject\, connections with resolution of
singularities\, and recent progress. We will discuss our recent work with
Razieh Ahmadian on the problem of describing the structure of the associa
ted graded ring ${\\rm gr}_v A[x]/(f(x))$ of $A[x]/(f(x))$ for the filtrat
ion defined by $v$ as an extension of the associated graded ring of $A$ fo
r the filtration defined by $v_0$. We give a complete simple description o
f this algebra when there is unique extension of $v_0$ to $L$ and the resi
due characteristic of $A$ does not divide the degree of $f$. To do this\,
we show that the sequence of key polynomials constructed by MacLane's algo
rithm can be taken to lie inside $A[x]$. This result was proven using a di
fferent method in the more restrictive case that the residue fields of $A$
and of the valuation ring of $v$ are equal and algebraically closed in a
recent paper by Cutkosky\, Mourtada and Teissier.\n\nzoom.us/join\n\nMeeti
ng ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ivan Cheltsov (University of Edinburgh)
DTSTART:20231115T140000Z
DTEND:20231115T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/30
DESCRIPTION:Title: Equivariant geometry of singular cubic threefolds\nby Ivan
Cheltsov (University of Edinburgh) as part of IPM Algebraic Geometry Semin
ar\n\n\nAbstract\nI will report on a joint work with Yuri Tschinkel (Simon
s Foundation) and Zhijia Zhang (New York University) on linearizability of
actions of finite groups on singular cubic threefolds.\n\nzoom.us/join\n\
nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Claudio Fontanari (University of Trento)
DTSTART:20231129T140000Z
DTEND:20231129T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/31
DESCRIPTION:Title: Generalized Abundance and Nonvanishing: remarks and open questi
ons\nby Claudio Fontanari (University of Trento) as part of IPM Algebr
aic Geometry Seminar\n\n\nAbstract\nThe Nonvanishing Conjecture and the Ab
undance Conjecture are longstanding open problems in the Minimal Model Pro
gram. I am going to present some unexpected generalizations which appeared
in the literature in the last few years and to discuss a few variants of
them.\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jean Fasel (Universit´e Grenoble Alpes)
DTSTART:20231213T140000Z
DTEND:20231213T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/32
DESCRIPTION:Title: Vector bundles on threefolds\nby Jean Fasel (Universit´e G
renoble Alpes) as part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nIn
this talk\, I will survey classification results for vector bundles on sm
ooth threefolds \nover an algebraically closed field. I will start with cl
assical results in the affine case\, \nand then show how to complete the c
lassification in that case. Then\, I will pass to quasi-projective threefo
lds\, focusing on the case of complex varieties.\n\nzoom.us/join\n\nMeetin
g ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simon Pepin Lehalleur (University of Amsterdam)
DTSTART:20240228T144500Z
DTEND:20240228T160000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/33
DESCRIPTION:Title: Cohomology and motives of moduli spaces of Higgs bundles and mo
tivic mirror symmetry\nby Simon Pepin Lehalleur (University of Amsterd
am) as part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nHiggs bundles
are vector bundles equipped with an additional "twisted\nendomorphism". I
ntroduced by Nigel Hitchin in a context of\nmathematical physics\, they ha
ve turned to be central objects in\ndifferential and algebraic geometry. I
n particular\, moduli spaces of\nHiggs bundles have a very rich geometry t
hat is both related to the\ngeometry of moduli of vector bundles but also
has additional\nsymplectic features. I will introduce these moduli spaces
and discuss\nsome of what is known about their cohomology and their motivi
c\ninvariants. There has been a lot of recent progress in this direction\n
and I will try to describe the main threads. I will conclude with a\ndiscu
ssion of my joint work with Victoria Hoskins on a motivic version\nof the
"cohomological mirror symmetry" conjecture of Hausel and\nThaddeus for SL_
n and PGL_n Higgs bundles.\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\nPa
sscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Victoria Hoskins (Radboud University Nijmegen)
DTSTART:20240417T140000Z
DTEND:20240417T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/34
DESCRIPTION:Title: Motives of stacks of bundles and sheaves on curves\nby Vict
oria Hoskins (Radboud University Nijmegen) as part of IPM Algebraic Geomet
ry Seminar\n\n\nAbstract\nThe geometry of moduli spaces and stacks of vect
or bundles on curves have been intensively studied from different perspect
ives\; for example\, via point counting over finite fields by Harder and N
arasimhan\, and gauge theoretically by Atiyah and Bott over the complex nu
mbers. Following Grothendieck’s vision that a motive of an algebraic var
iety should capture many of its cohomological invariants\, Voevodsky intro
duced a triangulated category of motives which partially realises this ide
a. After describing some properties of this category\, I will present a fo
rmula for the motive of the moduli stack of vector bundles on a smooth pro
jective curve\; this formula is compatible with classical computations of
invariants of this stack due to Harder\, Atiyah--Bott and Behrend--Dhillon
. The proof involves rigidifying this stack using Flag-Quot schemes parame
trising Hecke modifications as well as a motivic version of an argument of
Laumon and Heinloth on the cohomology of small maps\, which is closely re
lated to the Grothendieck-Springer resolution. I will explain how to exten
d this to a formula for the stack of coherent sheaves and\, if there is ti
me\, I will give an overview of other motivic descriptions of closely rela
ted moduli spaces. This is joint work with Simon Pepin Lehalleur.\n\nzoom.
us/join\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Razieh Ahmadian (Shahid Beheshti University)
DTSTART:20240501T140000Z
DTEND:20240501T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/35
DESCRIPTION:Title: Hironaka's Question F and its Simplification\nby Razieh Ahm
adian (Shahid Beheshti University) as part of IPM Algebraic Geometry Semin
ar\n\n\nAbstract\nA special case of Hironaka's QUESTION F\, named F'\, ask
s about the strong factorization of birational maps between reduced nonsin
gular algebraic schemes\, which is still open. Suppose that $\\varphi : X\
\dashrightarrow Y$ is such a map\, and let $U\\subset X$ be the open subs
et where $\\varphi$ is an isomorphism. This problem asks if there exists a
diagram\n$$\n\\xymatrix{ & Z \\ar[dl]_{\\varphi_{1}}\\ar[dr]^{\\varphi_{2
}}\\\\\nX \\ar[rr]^{\\varphi} & & Y}\n$$\nwhere the morphisms $\\varphi_{
1}$ and $\\varphi_{2}$ are sequences of blow-ups of non-singular centers d
isjoint from $U$. In this talk\, we will discuss how strong factorization
can be simplified by providing a complete answer to the problem of toroida
lization of morphisms\, while we introduce the strong Oda conjecture.\n\nz
oom.us/join\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rita Pardini (University of Pisa)
DTSTART:20240515T140000Z
DTEND:20240515T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/36
DESCRIPTION:Title: Exploring the boundary of the moduli space of stable surfaces:
some explicit examples\nby Rita Pardini (University of Pisa) as part o
f IPM Algebraic Geometry Seminar\n\n\nAbstract\nI will briefly recall the
notion of stable surfaces and of the corresponding moduli space. Then I wi
ll outline a partial description of the boundary points in the case of su
rfaces with $K^2=1$\, $p_g=2$ (joint work with Stephen Coughlan\, Marco Fr
anciosi\, Julie Rana and Soenke Rollenske\, in various combinations) and\
, time permitting\, in the case of Campedelli and Burniat surfaces (joint
work with Valery Alexeev).\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\nP
asscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jonas Stelzig (LMU Munich)
DTSTART:20240529T140000Z
DTEND:20240529T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/37
DESCRIPTION:Title: Linear combinations of cohomological invariants of compact comp
lex manifolds\nby Jonas Stelzig (LMU Munich) as part of IPM Algebraic
Geometry Seminar\n\n\nAbstract\nIn the 50s\, Hirzebruch asked which linear
combinations of Hodge and Chern numbers are topological invariants of com
pact complex manifolds. Building on ideas of Schreieder and Kotschick\, wh
o solved the Kähler case\, I will present a general answer to this questi
on (and some related ones). Furthermore\, I will outline a program how to
tackle similar questions when incorporating more cohomological invariants\
, eg the dimensions of the Bott Chern cohomology groups. This will natural
ly lead to an algebraic study of the structure of bicomplexes\, as well as
a number of challenging geometric construction problems.\n\nzoom.us/join\
n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emilia Mezzetti (University of Trieste)
DTSTART:20240612T140000Z
DTEND:20240612T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/38
DESCRIPTION:Title: Hilbert functions\, Lefschetz properties and Perazzo hypersurfa
ces\nby Emilia Mezzetti (University of Trieste) as part of IPM Algebra
ic Geometry Seminar\n\n\nAbstract\nArtinian Gorenstein algebras (AG algebr
as for short) can be viewed as algebraic analogues of the cohomology rings
of smooth projective varieties. The Strong and Weak Lefschetz properties
for graded AG algebras take origin from the hard Lefschetz theorem. The pr
operties of an AG quotient $A _F$ of a polynomial ring are related to its
Macaulay dual generator $F$\, and in particular $A_F$ fails the Strong Lef
schetz property if and only if the hessian of $F$ of order $t$ vanishes fo
r some $1\\leq t\\leq d/2$\, where $d=\\deg F$ and the usual hessian is ob
tained for $t=1$. \nPerazzo polynomials are a large class of polynomials w
ith vanishing hessian so their algebras $A_F$ always fail the SLP. I will
report on some recent results concerning the question if the WLP holds fo
r these algebras. \nJoint work with N. Abdallah\, N. Altafi\, P. De Poi\,
L. Fiorindo\, A. Iarrobino\, P. Macias Marques\, R.M. Mir ́o-Roig\, L. N
icklasson.\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/38/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fatemeh Mohammadi (KU Leuven (Belgium))
DTSTART:20241016T140000Z
DTEND:20241016T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/39
DESCRIPTION:Title: Computational tropical geometry and its applications\nby Fa
temeh Mohammadi (KU Leuven (Belgium)) as part of IPM Algebraic Geometry Se
minar\n\n\nAbstract\nTropical geometry is a combinatorial counterpart of a
lgebraic geometry\, transforming \npolynomials into piecewise linear funct
ions and their solutions (varieties) into polyhedral fans. This \ntransfor
mation is intricately linked to the concept of Gröbner bases\, which prov
ide a powerful tool in \ncomputational algebra. Specifically\, all possibl
e Gröbner bases of an ideal are encoded within a polyhedral\n fan\, with
the tropical variety appearing as a subfan. Despite its significance\, the
computational complexity of tropical varieties\n often limits computatio
ns to small-scale instances. \nIn this talk\, we introduce a geometric ap
proach that enables the effective computation of various points within\n t
ropical varieties. One application of this method is the computation of to
ric degenerations\, which are important objects\n in algebraic geometry.
These degenerations can be modeled on polytopes\, and there exists a dicti
onary between \n their geometric properties and the combinatorial invaria
nts of the corresponding polytopes. \n This dictionary can be extended fr
om toric varieties to arbitrary varieties through toric degenerations.\n\n
zoom.us/join\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pietro De Poi (University of Udine (Italy))
DTSTART:20241113T140000Z
DTEND:20241113T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/41
DESCRIPTION:Title: The importance of being projected\nby Pietro De Poi (Univer
sity of Udine (Italy)) as part of IPM Algebraic Geometry Seminar\n\n\nAbst
ract\nA set of points Z in $\\mathbb{P}^3$\nis an (a\, b)-geproci set (for
GEneral\nPROjection is a Complete Intersection) if its projection from\na
general point to a plane is a complete intersection of\ncurves of degrees
a and b.\nWe will report on some results in order to pursue\nclassificati
on of geproci sets. Specifically\, we will show how\nto classify (a\, b)-g
eproci sets Z which consist of a points on\neach of b skew lines\, assumin
g the skew lines have two\ntransversals in common. We will show in this ca
se that\nb ≤ 6.\nMoreover we will show that all geproci sets of this typ
e and\nwith no points on the transversals are contained in the $F_4$\nconf
iguration. We conjecture that a similar result is true for\nan arbitrary n
umber a of points on each skew line\,\nreplacing containment in $F_4$ by c
ontainment in a half grid\nobtained by the so-called standard construction
.\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/41/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Francesco Russo (University of Catania (Italy))
DTSTART:20241127T140000Z
DTEND:20241127T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/42
DESCRIPTION:Title: On smooth rational complete intersections\nby Francesco Rus
so (University of Catania (Italy)) as part of IPM Algebraic Geometry Semin
ar\n\n\nAbstract\nThe known results about the rationality vs irrationality
of smooth Fano complete\nintersections $X^n\\subset\\mathbb P^{n+c}$ of
dimension $n=3\,4\,5$ and fixed type $(d_1\,\\ldots\, d_c)$ suggest\nan un
iform approach to treat several open cases: index one\; index two\; quarti
c fourfolds and fivefolds\; etc. \nFrom one hand one would like to decide
the rationality/irrationality of every element in the numerous cases where
the stable irrationality of\nthe very general element is known (e.g. quar
tic fourfolds and fivefolds\, quintic fivefolds\, etc)\; from \nthe other
hand one hopes to put some further light on several longstanding\nconjectu
res (e.g. the irrationality of the very general cubic fourfold). After an
introduction\n of the general problem and after recalling the state of the
art\, we shall present some of our recent results on these topics.\n\nzoo
m.us/join\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/42/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Roya Beheshti (Washington University (US))
DTSTART:20241211T140000Z
DTEND:20241211T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/43
DESCRIPTION:Title: Asymptotic Enumerativity of Tevelev Degrees\nby Roya Behesh
ti (Washington University (US)) as part of IPM Algebraic Geometry Seminar\
n\n\nAbstract\nA Tevelev degree is a type of Gromov-Witten invariant where
the \ndomain curve is fixed in the moduli. After reviewing the basic defi
nitions and previously\n known results\, I will report on joint work with
Lehmann\, Lian\, Riedl\, Starr\, and Tanimoto\, \n where we improve the Li
an-Pandharipande bound on asymptotic enumerativity of Tevelev degrees of h
ypersurfaces and provide counterexamples to asymptotic enumerativity for c
ertain other Fano varieties.\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\n
Passcode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/43/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Artan Sheshmani (Harvard University- MIT IAiFi (US) & BIMSA (China
))
DTSTART:20250219T140000Z
DTEND:20250219T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/44
DESCRIPTION:Title: Tyurin degenerations\, Relative Lagrangian foliations and categ
orification of DT invariants\nby Artan Sheshmani (Harvard University-
MIT IAiFi (US) & BIMSA (China)) as part of IPM Algebraic Geometry Seminar\
n\n\nAbstract\nWe discuss construction of a derived Lagrangian intersectio
n theory of moduli spaces of perfect complexes\, with support on divisors
on compact Calabi Yau threefolds. Our goal is to compute deformation invar
iants associated to a fixed linear system of divisors in CY3. We apply a T
yurin degeneration of the CY3 into a normal-crossing singular variety comp
osed of Fano threefolds meeting along their anti-canonical divisor. We sho
w that the moduli space over the Fano 4 fold given by total space of degen
eration family satisfies a relative Lagrangian foliation structure which l
eads to realizing the moduli space as derived critical locus of a global (
-1)-shifted potential function. We construct a flat Gauss-Manin connection
to relate the periodic cyclic homology induced by matrix factorization ca
tegory of such function to the derived Lagrangian intersection of the corr
esponding “Fano moduli spaces”. The later provides one with categorifi
cation of DT invariants over the special fiber (of degenerating family). T
he alternating sum of dimensions of the categorical DT invariants of the s
pecial fiber induces numerical DT invariants. If there is time\, we show h
ow in terms of “non-derived” virtual intersection theory\, these numer
ical DT invariants relate to counts of D4-D2-D0 branes which are expected
to have modularity property by the S-duality conjecture. This talk is base
d on joint work with Ludmil Katzarkov and Maxim Kontsevich\, recent work w
ith Jacob Krykzca\, and former work with Vladimir Baranovsky.\n\nzoom.us/j
oin\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/44/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Roberto Svaldi (University of Milan)
DTSTART:20250305T140000Z
DTEND:20250305T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/45
DESCRIPTION:Title: Boundedness for fibered Calabi-Yau varieties\nby Roberto Sv
aldi (University of Milan) as part of IPM Algebraic Geometry Seminar\n\n\n
Abstract\nSeen through the lens of the Minimal Model Program\, the classif
ication of algebraic varieties can be summarised into two main steps: firs
tly\, the algorithm of the MMP allows to decompose a variety with mild sin
gularities\, birationally\, into a tower of fibrations whose general fibre
s have ample\, anti-ample\, or numerically trivial canonical divisor. In v
iew of this decomposition\, the natural second step to take is to study th
ese 3 classes of algebraic varieties in detail\, for example\, studying th
eir moduli theory and/or any other property that could shed light on ways
to understand all possible elements that belong to such classes.\nIt turns
out a very important property to understand in this process is boundednes
s: a collection of varieties is bounded when the elements of the given col
lection can be parametrised using a finite type geometric space. The prope
rty of boundedness plays a crucial role in the construction of proper modu
li spaces of finite type. Moreover\, if a given collection of algebraic va
rieties is bounded (in char 0)\, then the topological types of their under
lying analytic spaces belong to only finitely many homeomorphism classes:
hence\, all of their topological invariants come in just finitely many pos
sible different versions.\nWhile over the past 15 years\, several breakthr
oughs have completely settled the question of boundedness (and the subsequ
ent construction of moduli spaces) in the case of log canonical models (va
rieties/pairs with ample canonical divisor) and Fano varieties (those with
anti-ample canonical divisor)\, the situation is still quite unclear in t
he case of trivial numerical divisor.\nIn this seminar\, I will try to exp
lain what is known\, or not\, and what those challenges are that make the
situation quite more complicated than the other 2 cases. I will moreover e
xplain how we can overcome most of the issues if we assume that a K-trivia
l variety is endowed with a fibration structure of relative dimenesion one
. The seminar includes results from various works I developed over the pas
t 10 years with G. Di Cerbo\, C. Birkar\, S. Filipazzi\, and C. Hacon.\nMo
reover\, I will talk about current work in progress with P. Engel\, S. Fil
ipazzi\, F. Greer\, M. Mauri were we show various new boundedness results
for K-trvial varieties fibered in K3 surfaces or abelian varieties.\n\nzoo
m.us/join\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/45/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alessio Corti (Imperial College London (UK))
DTSTART:20250416T140000Z
DTEND:20250416T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/46
DESCRIPTION:Title: The classification of Fano 3-folds and the Fano/Landau–Ginzbu
rg correspondence\nby Alessio Corti (Imperial College London (UK)) as
part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nI introduce Fano var
ieties and the classification problem. I explain the conjectural framework
of Fano/Landau–Ginzburg correspondence and its consequences for the cla
ssification of Fano varieties. I intend this to be an accessible colloquiu
m-style presentation.\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\nPasscod
e: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/46/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rosa Maria Miró-Roig (University of Barcelona (Spain))
DTSTART:20250430T140000Z
DTEND:20250430T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/47
DESCRIPTION:Title: Lagrangian subspaces of the moduli space of simple sheaves on K
3 surfaces\nby Rosa Maria Miró-Roig (University of Barcelona (Spain))
as part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nLet $X$ be a smo
oth connected projective $K3$ surface over the complex numbers and let $Sp
l(r\; c_1\, c_2)$\n be the moduli space of simple sheaves on $X$ of fixed
rank $r$ and Chern classes $c_1$ and $c_2$. \n In 1984\, Mukai proved that
$Spl(r\; c_1\, c_2)$ is a smooth algebraic space of dimension\n $2rc_2-(
r-1)c_1^2-2r^2+2$ with a natural symplectic sstricture\, i.e.\, it has a n
on-degenerate closed holomorphic 2-form. \n In my talk\, I will present a
useful method to construct isotropic and Lagrangian subspaces of\n $Spl
(r\; c_1\, c_2)$. This is joint work with Barbara Fantechi.\n\nzoom.us/joi
n\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/47/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sándor Kovács (University of Washington (US))
DTSTART:20250514T140000Z
DTEND:20250514T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/48
DESCRIPTION:Title: KSB stability is automatic in codimension 3\nby Sándor Kov
ács (University of Washington (US)) as part of IPM Algebraic Geometry Sem
inar\n\n\nAbstract\nI will start with a review of KSB/A stability\, especi
ally their local version and then discuss \njoint work with János Kollár
\, showing that it is enough to check these conditions\, including flatnes
s\, up to codimension 2. \nThis implies that we have a very good understan
ding of this stability condition in general\, because local KSB-stability
is\n trivial at codimension 1 points\, and quite well understood at codime
nsion 2 points\, since we have a complete classification of 2-dimensional
slc singularities.\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\nPasscode:
362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/48/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elena Guardo (University of Catania (Italy))
DTSTART:20250528T140000Z
DTEND:20250528T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/49
DESCRIPTION:Title: Hadamard products of symbolic powers and Hadamard fat grids
\nby Elena Guardo (University of Catania (Italy)) as part of IPM Algebraic
Geometry Seminar\n\n\nAbstract\nIn this talk we study some properties of
the Hadamard\nproducts of symbolic powers\, in particular\, if for points\
n $P\, Q\\in {\\mathbb{P}}^2$\, we get\n$I(P)^m*I(Q)^n= I(P*Q)^{m+n−1}$
. \nWe obtain different results according to the number of\nzero coordinat
es in $P$ and $Q$. \nSuccessively\, we define the\nso called Hadamard fat
grids\, which are the result of the\nHadamard product of two sets of colli
near points with\ngiven multiplicites. The most important invariants of\nH
adamard fat grids\, as minimal resolution\, Waldschmidt\nconstant and resu
rgence\, are then computed using also\ntools and known results in ${\\math
bb{P}}^1\\times{\\mathbb{P}}^1$.\n (This is a joint work\nwith I. Bahmani
Jafarloo\, C. Bocci\, G. Malara).\n\nzoom.us/join\n\nMeeting ID: 908611688
9\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/49/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Farhad Babaee (University of Bristol (UK))
DTSTART:20251008T140000Z
DTEND:20251008T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/50
DESCRIPTION:Title: Tropical geometry and currents\nby Farhad Babaee (Universit
y of Bristol (UK)) as part of IPM Algebraic Geometry Seminar\n\n\nAbstract
\nIn this talk\, I will review several key concepts in Tropical Geometry\,
highlighting the naturality and numerous applications that arise when int
egrating the Theory of Positive Closed Currents into this framework. This
talk is based on previous works with June Huh\, Karim Adiprasito and Tien
Cuong Dinh.\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\nPasscode: 362880\
n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/50/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fabio Tanania (University of Milano-Bicocca (Italy))
DTSTART:20251022T140000Z
DTEND:20251022T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/51
DESCRIPTION:Title: Isotropic motivic fundamental groups\nby Fabio Tanania (Uni
versity of Milano-Bicocca (Italy)) as part of IPM Algebraic Geometry Semin
ar\n\n\nAbstract\nLet $X$ be a smooth variety over a field k\, and let $MB
P^{iso}$ denote the isotropic \nmotivic Brown-Peterson spectrum. In this t
alk\, I will discuss the category of cellular $MBP^{iso}$-modules\, \nalso
called isotropic Tate motives\, over $X$. I will show how to endow this c
ategory with a motivic t-structure whose \nheart is Tannakian. This leads
to the definition of a new invariant\, called the isotropic motivic fundam
ental group of $X$. \nI will end with explicit computations for the punctu
red projective line and split tori.\n\nzoom.us/join\n\nMeeting ID: 9086116
889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/51/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Claire Voisin (CNRS (France))
DTSTART:20251105T140000Z
DTEND:20251105T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/52
DESCRIPTION:Title: Points and zero-cycles on smooth projective varieties\nby C
laire Voisin (CNRS (France)) as part of IPM Algebraic Geometry Seminar\n\n
\nAbstract\nGiven an algebraic variety $X$ defined by polynomial equations
in several variables with coefficients in a field $K$\, \nthe most basic
question is whether it has $K$-points\, corresponding to solutions with $
K$-coordinates of all these equations. \nIn general\, there are no solutio
ns but unless the variety is empty\, there are solutions which are defined
over a finite extension $L$ of $K$.\n We will then speak of $L$-points. T
he degree of a $L$-point is by definition the degree of the field extens
ion $L/K$. The next important question is:\n what are the possible degre
es of points of $X$? This question is more cohomological/Chow-theoretic
in nature and we will discuss \n recent results in the case of del Pezzo
surfaces and higher dimensional Fano varieties.\n\nzoom.us/join\n\nMeetin
g ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/52/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Soheyla Feyzbakhsh (Imperial College London (UK))
DTSTART:20251119T140000Z
DTEND:20251119T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/53
DESCRIPTION:Title: Hurwitz-Brill-Noether theory via K3 surfaces\nby Soheyla Fe
yzbakhsh (Imperial College London (UK)) as part of IPM Algebraic Geometry
Seminar\n\n\nAbstract\nI will discuss the Brill-Noether theory of a genera
l elliptic K3 surface\n using wall-crossing with respect to Bridgeland sta
bility conditions. As an application\, \n I will provide an example of a g
eneral k-gonal curve from the perspective of Hurwitz-Brill-Noether theory.
This is joint work with Gavril Farkas and Andrés Rojas.\n\nzoom.us/join
\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/53/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alberto Vezzani (University of Milan (Italy))
DTSTART:20251203T140000Z
DTEND:20251203T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/54
DESCRIPTION:Title: p-adic cohomology theories using homotopy theory\nby Albert
o Vezzani (University of Milan (Italy)) as part of IPM Algebraic Geometry
Seminar\n\n\nAbstract\nWe introduce the categories of (étale\, rational)
motives over an adic space S and illustrate their most important propertie
s\, focusing on relevant applications in the study of p-adic cohomology th
eories. In particular\, we will present the six-functor formalism they are
equipped with\, the continuity/spreading-out property\, compact generatio
n\, and the identification between an analytic motive over a local field a
nd a monodromy operator acting on its nearby cycle. We will sketch the pro
ofs of these facts\, highlighting the role of homotopies at each stage. Se
veral applications will be presented\, especially concerning the definitio
n and study of rigid\, de Rham\, and Hyodo-Kato cohomologies.\n\nzoom.us/j
oin\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/54/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hélène Esnault (Freie Universität Berlin (Germany))
DTSTART:20251217T140000Z
DTEND:20251217T153000Z
DTSTAMP:20260404T094311Z
UID:IPMAlgGeom/55
DESCRIPTION:Title: Restriction map in cohomology\nby Hélène Esnault (Freie U
niversität Berlin (Germany)) as part of IPM Algebraic Geometry Seminar\n\
n\nAbstract\nWe‘ll extract from Grothendieck’s generalized Hodge conje
cture one small piece which is purely algebraic and explain a few insights
one can reach using modern integral p-adic method\; (work in progress wit
h Alexander Petrov and Mark Kisin).\n\nzoom.us/join\n\nMeeting ID: 9086116
889\n\nPasscode: 362880\n
LOCATION:https://stable.researchseminars.org/talk/IPMAlgGeom/55/
END:VEVENT
END:VCALENDAR