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BEGIN:VEVENT
SUMMARY:Kiumars Kaveh (University of Pittsburgh)
DTSTART:20211102T130000Z
DTEND:20211102T143000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/1
DESCRIPTION:Title: Vector bundles on toric varieties\nby Kiumars Kaveh (University of
Pittsburgh) as part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nIn th
is talk we review construction of toric varieties and classification of (t
orus equivariant) line bundles and vector bundles on them (after Klyachko)
. We interpret Klyachko's data of a vector bundle as a "piecewise linear m
ap" into the Tits building of the general linear group GL(r). This "buildi
ng" perspective helps to approach many questions about vector bundles on t
oric varieties in a new light. As an application of this idea\, we obtain
a classification of (torus equivariant) vector bundles on toric schemes in
terms of "piecewise affine maps" to the Bruhat-Tits building of GL(r). Th
is 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\nMeeting
ID: 9086116889\n\nPasscode: 13440 $\\times$ the number of lines on a cubic
surface\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amir Jafari (Sharif University of Technology)
DTSTART:20211116T130000Z
DTEND:20211116T143000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/2
DESCRIPTION:Title: Grothendieck Galois theory and some of its applications in combinatoric
s\nby Amir Jafari (Sharif University of Technology) as part of IPM Alg
ebraic Geometry Seminar\n\n\nAbstract\nThis is going to be a report of my
ongoing joint research project with Mr. Moghaddamzadeh on finite projectiv
e geometries. However\, a good portion of the talk will be spent on explai
ning Grothendieck's generalizations of Galois theory.\n\nhttps://zoom.us/j
oin\n\nMeeting ID: 9086116889\n\nPasscode: 13440 $\\times$ the number of l
ines on a cubic surface\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amin Gholampour (University of Maryland)
DTSTART:20211130T130000Z
DTEND:20211130T143000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/3
DESCRIPTION:Title: 2-dimensional stable pairs on 4-folds\nby Amin Gholampour (Universi
ty of Maryland) as part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nI
will discuss a 2-dimensional stable pair theory of nonsingular complex 4-
folds that is parallel to Pandharipande-Thomas' 1-dimensional stable pair
theory of 3-folds. The stable pairs of a 4-fold are related to its 2-dimen
sional subschemes via wall-crossings in the space of polynomial stability
conditions. In Calabi-Yau case\, Oh-Thomas theory is applied to define inv
ariants counting these stable pairs under some restrains. This is a joint
work with Yunfeng Jiang and Jason Lo.\n\nhttps://zoom.us/join\n\nMeeting I
D: 9086116889\n\nPasscode: 13440 $\\times$ the number of lines on a cubic
surface\n
LOCATION:https://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:20260422T212833Z
UID:IPMAlgGeom/4
DESCRIPTION:Title: The relation type of singular space of hypersurfaces\nby Abbas Nasr
ollah Nejad (Institute for Advanced Studies in Basic Sciences) as part of
IPM Algebraic Geometry Seminar\n\n\nAbstract\nIn this talk\, we will intro
duce the notion of relation type of formal and analytic algebras and show
that it is well defined by using of André-Quillen homology. In particular
\, the relation type is an invariant of an affine algebraic variety and a
complex space germ. We will discuss and essay to explain the relation type
of singular subscheme of isolated hypersurface singularities. This talk i
s based on joint ongoing work with Maryam Akhavin.\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://researchseminars.org/talk/IPMAlgGeom/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tahereh Aladpoosh (Institute for Research in Fundamental Sciences
(IPM))
DTSTART:20211228T130000Z
DTEND:20211228T143000Z
DTSTAMP:20260422T212833Z
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 Sciences (IP
M)) as part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nA well-known
theorem by Hartshorne and Hirschowitz states that a generic configuration
of lines has good postulation. So what about non-reduced configurations? C
an 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 projectiv
e schemes\, then we discuss the problem for the family of schemes supporte
d on generic linear configurations\, which are the ones of particular inte
rest. In the second part of the talk we focus on the postulation of generi
c lines and one multiple line in projective space. We give our main theore
m providing a complete description to the case of lines and a double line\
, then we propose a conjecture to the general case\, finally we discuss wh
at is known about the conjecture and more recent results on it.\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://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:20260422T212833Z
UID:IPMAlgGeom/6
DESCRIPTION:Title: Rapoport-Zink spaces for local ℙ-shtukas\nby Esmail Arasteh Rad (
Institute for Research in Fundamental Sciences (IPM)) as part of IPM Algeb
raic Geometry Seminar\n\n\nAbstract\nRapoport-Zink spaces for p-divisible
groups are local counterparts for Shimura varieties. According to the dict
ionary 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 o
f 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://researchseminars.org/talk/IPMAlgGeom/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amir Nasr (Institute for Research in Fundamental Sciences (IPM))
DTSTART:20220208T103000Z
DTEND:20220208T120000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/7
DESCRIPTION:Title: Toric quiver varieties\nby Amir Nasr (Institute for Research in Fun
damental Sciences (IPM)) as part of IPM Algebraic Geometry Seminar\n\n\nAb
stract\nWe discuss the smoothness of toric quiver varieties. When a quiver
$Q$ is defined with the identity dimension vector\, the corresponding qu
iver variety is also a toric variety. So it has a fan representation and a
quiver representation. I consider only quivers with canonical weight and
we classify smooth such toric quiver varieties. I show that a variety corr
esponding to a quiver with the identity dimension vector and the canonical
weight is smooth if and only if it is a product of projective spaces or t
heir blowups.\n\nhttps://zoom.us/join\n\nMeeting ID: 9086116889\n\nPasscod
e: 13440 $\\times$ the number of lines on a cubic surface\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ali Bajravani (Azarbaijan Shahid Madani University)
DTSTART:20220222T130000Z
DTEND:20220222T143000Z
DTSTAMP:20260422T212833Z
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 Algebra
ic Geometry Seminar\n\n\nAbstract\nWe discuss some stricking properties of
stable vector bundles over curves\, which are frequently used in moduli a
nd Brill-Noether arguments of these bundles. Then\, after a quick historic
al surf in the topic\, we give an upper bound for dimensions of Brill-Noet
her schemes of rank 2 stable vector bundles.\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://researchseminars.org/talk/IPMAlgGeom/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hassan Haghighi (K. N. Toosi University of Technology)
DTSTART:20220308T130000Z
DTEND:20220308T143000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/9
DESCRIPTION:Title: Unexpected hypersurfaces: some examples\, a few constructions\nby H
assan Haghighi (K. N. Toosi University of Technology) as part of IPM Algeb
raic Geometry Seminar\n\n\nAbstract\nIn recent years\, a novel attitude to
the classical problem of identifying and classifying special linear syst
ems 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 pos
itive integers which at least\none of them is greater than one. On the sub
space of those elements of degree $d$ part of the homogeneous ideal $I$ wh
ich vanish at $P_i$ with multiplicity at least $m_i$\, each fat point $m_i
P_i$ 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 unexpected
hypersurface with respect to fat point subscheme defined by these fat poi
nts\, and this linear subspace is called a special linear system on the va
riety $Z$. Each element of this subspace\, defines a hypersurface\, known
as unexpected hypersurface.\nIn this talk\, we review some interesting exa
mples which brought into the scene with this new approach and explain some
existing methods to construct unexpected hypersurfaces.\n\nhttps://zoom.u
s/join\n\nMeeting ID: 9086116889\n\nPasscode: 13440 $\\times$ the number o
f lines on a cubic surface\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Takuya Murata (Institute for Research in Fundamental Sciences (IPM
))
DTSTART:20220412T120000Z
DTEND:20220412T133000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/10
DESCRIPTION:Title: A map to a toric variety and construction of a toric degeneration\
nby Takuya Murata (Institute for Research in Fundamental Sciences (IPM)) a
s part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nIn the first part
of the talk\, I consider a map to a toric\nvariety\, a generalization of a
map to a projective space (also known\nas a linear system). A torus embed
ding is a special case of such a map\nand thus the notion can be thought o
f as a generalization of a torus\nembedding or\, when the map is flat\, 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 the seco
nd part\, I consider a toric degeneration (= degeneration to\na toric vari
ety) with the focus on a construction of it. Instead of a\ngeneral constru
ction\, I will discuss illustrative examples. Depending\non time\, I will
also discuss some applications of toric degenerations.\n\nhttps://zoom.us/
join\n\nMeeting ID: 9086116889\n\nPasscode: 13440 $\\times$ the number of
lines on a cubic surface\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hamid Abban (Loughborough University)
DTSTART:20220426T120000Z
DTEND:20220426T133000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/11
DESCRIPTION:Title: What is K-stability?\nby Hamid Abban (Loughborough University) as
part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nK-stability is an al
gebraic notion introduced by Tian and Donaldson to characterise which Fano
manifolds admit a Kähler-Einstein metric. There are various equivalent d
efinitions for K-stability\, amongst them the more recent ones are based o
n 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 biratio
nal viewpoint\, and explain some key questions and developments in the fie
ld\, mostly around methods of verifying K-stability. This is based on join
t work with Ziquan Zhuang.\n\nhttps://zoom.us/join\n\nMeeting ID: 90861168
89\n\nPasscode: 13440 $\\times$ the number of lines on a cubic surface\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ciro Ciliberto (University of Rome Tor Vergata)
DTSTART:20220510T120000Z
DTEND:20220510T133000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/12
DESCRIPTION:Title: Enumeration in geometry\nby Ciro Ciliberto (University of Rome Tor
Vergata) as part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nEnumera
tion of geometric objects verifying some specific properties is an old and
venerable subject. In this talk I will start by briefly reviewing some
of its history and problems. In the last decades\, enumerative geometry sa
w the flourishing of new problems and underwent a tremendous change of per
spective and a spectacular progress\, with the introduction of extremely r
efined new mathematical ideas and tools which launched unexpected bridges
between different parts of mathematics. This has been due also\, sometimes
mainly\, to the input of questions coming from physics. New insights have
also been provided by discretization methods in algebraic geometry introd
uced by the so--called tropical mathematics\, which\, by the way\, has qui
te interesting applications in phylogenetics. Being impossible to present
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 closer t
o my own research and (limited) knowledge.\n\nhttps://zoom.us/join\n\nMee
ting ID: 9086116889\n\nPasscode: 13440 $\\times$ the number of lines on a
cubic surface\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Luca Chiantini (University of Siena)
DTSTART:20220524T120000Z
DTEND:20220524T133000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/13
DESCRIPTION:Title: Configurations of points and tensor analysis\nby Luca Chiantini (U
niversity of Siena) as part of IPM Algebraic Geometry Seminar\n\n\nAbstrac
t\nI will make an overview on the theory of secant varieties to projective
varieties\,\nstarting with fundamental motivations and basic tools\, and
focusing on\nsome recent developments of the theory. The general pattern
shows that properties of secant varieties\nto X are intimately related wit
h the geometry of its configurations of points\, thus\nwith the intrinsic
geometry of the variety X. The recent awareness of strong connections\nbet
ween the theory of secant varieties and multilinear algebra\nsuggests seve
ral lines of investigations which involve highly sophisticated geometric t
ools\,\nand poses questions on projective loci that represent a challenge
for the\ndevelopment of Algebraic Geometry.\n\nhttps://zoom.us/join\n\nMee
ting ID: 9086116889\n\nPasscode: 13440 $\\times$ the number of lines on a
cubic surface\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hossein Movasati (IMPA)
DTSTART:20220607T120000Z
DTEND:20220607T133000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/14
DESCRIPTION:Title: Hodge conjecture\nby Hossein Movasati (IMPA) as part of IPM Algebr
aic Geometry Seminar\n\n\nAbstract\nHodge conjecture is one of the major c
onjectures in complex algebraic geometry which is\n still unsolved. In thi
s 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 this conje
cture. The talk is mainly based on my book: \n A Course in Hodge Theory:
With Emphasis on Multiple Integrals\, Somerville\, MA: International Pres
s Boston\, 2021.\n\nhttps://zoom.us/join\n\nMeeting ID: 9086116889\n\nPass
code: 13440 $\\times$ the number of lines on a cubic surface\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sandra Di Rocco (KTH\, Sweden)
DTSTART:20221018T130000Z
DTEND:20221018T143000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/15
DESCRIPTION:Title: Geometry of algebraic data\nby Sandra Di Rocco (KTH\, Sweden) as p
art of IPM Algebraic Geometry Seminar\n\n\nAbstract\nIt is often convenien
t to visualize algebraic varieties (and hence systems of polynomial equati
ons) by sampling. The key challenge is to have the right distribution and
density in order to recover the shape\, i.e the topology of the variety. B
ottlenecks are pairs of points on the variety joined by a line which is no
rmal to the variety at both points. These points play a special role in de
termining the appropriate density of a point-sample. Under suitable generi
city 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 useful i
n this analysis. The talk is based on joint work with D. Eklund\, P. Edwar
ds\, O. Gäfvert\, J Hauenstein\, M. Weinstein.\n\nhttps://zoom.us/join\n\
nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Farbod Shokrieh (University of Washington\, USA)
DTSTART:20221101T130000Z
DTEND:20221101T143000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/16
DESCRIPTION:Title: Heights and moments of abelian varieties\nby Farbod Shokrieh (Univ
ersity of Washington\, USA) as part of IPM Algebraic Geometry Seminar\n\n\
nAbstract\nWe give a formula which\, for a principally polarized abelian v
ariety $(A\, \\lambda)$ over a number field (or a function field)\, relate
s the stable Faltings height of $A$ with the N\\'eron--Tate height of a sy
mmetric theta divisor on $A$. Our formula involves invariants arising from
tropical geometry. We also discuss the case of Jacobians in some detail\,
where graphs and electrical networks will play a key role. (Based on join
t works with Robin de Jong.)\n\nhttps://zoom.us/join\n\nMeeting ID: 908611
6889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Giorgio Ottaviani (University of Florence\, Italy)
DTSTART:20221115T110000Z
DTEND:20221115T123000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/17
DESCRIPTION:Title: The Hessian map\nby Giorgio Ottaviani (University of Florence\, It
aly) as part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nIn a joint w
ork with C. Ciliberto we study the Hessian map h_{d\,r} which associates t
o 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 generi
cally finite unless h_{3\,1}\, and in the binary case h_{d\,1} is biration
al 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 first evi
dence for our conjecture is given by h_{3\,3} (the case of cubic surfaces)
which is again birational onto its image.\n\nhttps://zoom.us/join\n\nMeet
ing ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://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:20260422T212833Z
UID:IPMAlgGeom/18
DESCRIPTION:Title: Finite groups of birational transformations\nby Yuri Prokhorov (St
eklov Mathematical Institute\, Moscow State University\, Russia) as part o
f IPM Algebraic Geometry Seminar\n\n\nAbstract\nFirst\, I survey know resu
lts on finite groups of birational transformations of higher-dimensional a
lgebraic varieties. This theory has been significantly developed during th
e last 10 years due to the success of the minimal model program. \nThen
I will talk about finite groups of birational transformations of surface
s\nover fields of positive characteristic.\nIn particular\, I will discuss
a recent result on Jordan property of Cremona groups over finite fields (
joint with Constantin Shramov).\n\nhttps://zoom.us/join\n\nMeeting ID: 908
6116889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Azizeh Nozad (IPM\, Iran)
DTSTART:20221220T110000Z
DTEND:20221220T123000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/20
DESCRIPTION:Title: Serre polynomials and geometry of character varieties\nby Azizeh N
ozad (IPM\, Iran) as part of IPM Algebraic Geometry Seminar\n\n\nAbstract\
nWith G a complex reductive group\, let XrG denote the G-character varieti
es of free group Fr\, of rank r\, and XirrG ⊂ XrG be the locus of irredu
cible representation conjugacy classes. In this talk we shall present a re
sult showing that the mixed Hodge structures on the cohomology groups of X
rSLn and of XrPGLn\, and on the compactly supported cohomology groups of t
he irreducible loci XirrSLn and XirrPGLn are isomorphic\, for any n\,r ∈
N. The proof uses a natural stratification of XrG by polystable type comi
ng from affine GIT and the combinatorics of partitions. In particular\, th
is result would imply their E-polynomials coincide\, settling the question
raised by Lawton-Muñoz. This is based on joint work with Carlos Florent
ino and Alfonso Zamora.\n\nhttps://zoom.us/join\n\nMeeting ID: 9086116889\
n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Antonio Laface (University of Concepción (Chile))
DTSTART:20230215T140000Z
DTEND:20230215T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/21
DESCRIPTION:Title: On effective cones of algebraic surfaces\nby Antonio Laface (Unive
rsity of Concepción (Chile)) as part of IPM Algebraic Geometry Seminar\n\
n\nAbstract\nIt is an open problem to describe the shape of the effective
cone of\nan algebraic surface. Nagata conjecture predicts part of this sha
pe\nwhen the surface is the blow-up of the projective plane at general\npo
ints. More recently Ciliberto and Kouvidakis proved that Nagata\nconjectur
e implies that the two-dimensional effective cone of the\nsymmetric produc
t C_2 of a general\, genus g > 9\, curve C is open on\none side whenever 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 positi
ve genus\ncurve C. This result generalizes previous statements of J.F. Gar
cía\nand G. McGrat about the genus 1 case. To prove the statement we firs
t\nshow that having polyhedral effective cone is a closed property for\nfa
milies of surfaces having the same Picard group and then we prove it\nin t
he hyperelliptic case.\nThis is joint work with Luca Ugaglia.\n\nhttps://z
oom.us/join\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amir Hashemi (Isfahan University of Technology (Iran))
DTSTART:20230301T140000Z
DTEND:20230301T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/22
DESCRIPTION:Title: On the computation of staggered linear bases\nby Amir Hashemi (Isf
ahan University of Technology (Iran)) as part of IPM Algebraic Geometry Se
minar\n\n\nAbstract\nGrobner bases are a powerful tool in polynomial ideal
theory with many applications in various areas of science and engineering
. A Grobner basis is a particular generating set for a given ideal which
represents many useful properties of the ideal. The general theory of Grob
ner bases along with the first algorithm for constructing them were introd
uced 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 ideal. Thi
s notion was first introduced by Gebauer and Moller in 1988\, however the
algorithm that they described for computing these bases was not complete.
In this talk\, we first give a brief overview on the theory of Grobner bas
es (as well as of staggered linear bases) and then present a simple algori
thm for computing staggered linear bases.\n\nhttps://zoom.us/join\n\nMeeti
ng ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Carolina Araujo (IMPA (Brazil))
DTSTART:20230426T140000Z
DTEND:20230426T153000Z
DTSTAMP:20260422T212833Z
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\nThe Cala
bi Problem is a formidable problem in the confluence of differential and a
lgebraic 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. For mani
folds with zero or positive canonical class\, the Calabi problem was solve
d by Yau and Aubin/Yau in the 1970s. They confirmed Calabi's prediction\,
showing that these manifolds always admit a Kähler-Einstein metric. On th
e other hand\, for projective manifolds with negative canonical class\, ca
lled “Fano manifolds”\, the problem is much more subtle: Fano manifold
s may or may not admit a Kähler-Einstein metric. The Calabi problem for F
ano manifolds has attracted much attention in the last decades\, resulting
in the famous Yau-Tian-Donaldson conjecture. The conjecture\, which is no
w a theorem\, states that a Fano manifold admits a Kähler-Einstein metric
if and only if it satisfies a sophisticated algebro-geometric condition\,
called “K-polystability”. In the last few years\, tools from biration
al geometry have been used with great success to investigate K-polystabili
ty. 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: 9086116889\n\n
Passcode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Paolo Cascini (Imperial College London (UK))
DTSTART:20230524T140000Z
DTEND:20230524T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/24
DESCRIPTION:Title: On the Minimal Model Program for complex foliated varieties\nby Pa
olo Cascini (Imperial College London (UK)) as part of IPM Algebraic Geomet
ry Seminar\n\n\nAbstract\nI will survey some recent developments regarding
the minimal model program for foliations defined over a complex algebraic
variety\, together with some applications towards the study of fibrations
in birational geometry.\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\nPass
code: 362880\n
LOCATION:https://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:20260422T212833Z
UID:IPMAlgGeom/25
DESCRIPTION:Title: Sasaki-Einstein 5-manifolds and del Pezzo surfaces\nby Jihun Park
(IBS Center for Geometry and Physics\, POSTECH (Korea)) as part of IPM Alg
ebraic Geometry Seminar\n\n\nAbstract\nThis talk briefly explains how to f
ind closed simply connected Sasaki-Einstein 5-manifolds from K-stable log
del Pezzo surfaces. It then lists closed simply connected 5-manifolds that
are known so far to admit Sasaki-Einstein metrics. It also presents possi
ble candidates for Sasaki-Einstein 5- manifolds to complete the classifica
tion of closed simply connected Sasaki-Einstein 5-manifolds.\n\nzoom.us/jo
in\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lutz Hille (University of Münster (Germany))
DTSTART:20230510T140000Z
DTEND:20230510T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/26
DESCRIPTION:Title: Polynomial invariants for triangulated categories with full exceptiona
l sequences\nby Lutz Hille (University of Münster (Germany)) as part
of IPM Algebraic Geometry Seminar\n\n\nAbstract\nFor a full exceptional se
quence of vector bundles on the projective plane there is a remarkable equ
ation\, the so-called Markov equation\, in terms of the ranks of the three
vector bundles. This equation\, slightly modified\, has been used in a jo
int work with Beineke and Brüstle for cluster mutations for quivers with
three vertices. The aim of this talk is to define the natural generalizati
on 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 Izadi (U
niversity of California\, San Diego) as part of IPM Algebraic Geometry Sem
inar\n\n\nAbstract\nThis is mostly an introduction to and short survey of
hyperkahler manifolds and Lagrangian fibrations\, including some known res
ults and some open problems.\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\n
Passcode: 362880\n
LOCATION:https://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:20260422T212833Z
UID:IPMAlgGeom/28
DESCRIPTION:Title: Algebraic Varieties in Quantum Chemistry\nby Bernd Sturmfels (Max
Planck Institute for Mathematics in the Sciences\, Leipzig & University of
California\, Berkeley) as part of IPM Algebraic Geometry Seminar\n\n\nAbs
tract\nWe discuss the algebraic geometry behind coupled cluster (CC) theor
y of quantum many-body systems.\nThe high-dimensional eigenvalue problems
that encode the electronic Schroedinger equation are approximated by a \nh
ierarchy of polynomial systems at various levels of truncation. The expone
ntial parametrization of the eigenstates\ngives rise to truncation varieti
es. These generalize Grassmannians in their Pluecker embedding. We explain
how \nto derive Hamiltonians\, we offer a detailed study of truncation va
rieties and their CC degrees\, and we present the \nstate of the art in so
lving the CC equations. This is joint work with Fabian Faulstich and Svala
Sverrisdóttir.\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\nPasscode: 36
2880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Steven Dale Cutkosky (University of Missouri)
DTSTART:20231101T140000Z
DTEND:20231101T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/29
DESCRIPTION:Title: Generating sequences of valuations\nby Steven Dale Cutkosky (Unive
rsity of Missouri) as part of IPM Algebraic Geometry Seminar\n\n\nAbstract
\nSuppose that $(K\,v_0)$ is a valued field\, $f(x)\\in K[x]$ is a monic a
nd irreducible polynomial and $(L\,v)$ is an extension of valued fields\,
where $L=K[x]/(f(x))$. Let $A$ be a local domain with quotient field $K$ d
ominated 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 d
iscuss the history of this subject\, connections with resolution of singul
arities\, and recent progress. We will discuss our recent work with Razieh
Ahmadian on the problem of describing the structure of the associated gra
ded ring ${\\rm gr}_v A[x]/(f(x))$ of $A[x]/(f(x))$ for the filtration def
ined by $v$ as an extension of the associated graded ring of $A$ for the f
iltration defined by $v_0$. We give a complete simple description of this
algebra when there is unique extension of $v_0$ to $L$ and the residue cha
racteristic of $A$ does not divide the degree of $f$. To do this\, we show
that the sequence of key polynomials constructed by MacLane's algorithm c
an be taken to lie inside $A[x]$. This result was proven using a different
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\nMeeting ID:
9086116889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ivan Cheltsov (University of Edinburgh)
DTSTART:20231115T140000Z
DTEND:20231115T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/30
DESCRIPTION:Title: Equivariant geometry of singular cubic threefolds\nby Ivan Cheltso
v (University of Edinburgh) as part of IPM Algebraic Geometry Seminar\n\n\
nAbstract\nI will report on a joint work with Yuri Tschinkel (Simons Found
ation) and Zhijia Zhang (New York University) on linearizability of action
s of finite groups on singular cubic threefolds.\n\nzoom.us/join\n\nMeetin
g ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Claudio Fontanari (University of Trento)
DTSTART:20231129T140000Z
DTEND:20231129T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/31
DESCRIPTION:Title: Generalized Abundance and Nonvanishing: remarks and open questions
\nby Claudio Fontanari (University of Trento) as part of IPM Algebraic Geo
metry Seminar\n\n\nAbstract\nThe Nonvanishing Conjecture and the Abundance
Conjecture are longstanding open problems in the Minimal Model Program. 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://researchseminars.org/talk/IPMAlgGeom/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jean Fasel (Universit´e Grenoble Alpes)
DTSTART:20231213T140000Z
DTEND:20231213T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/32
DESCRIPTION:Title: Vector bundles on threefolds\nby Jean Fasel (Universit´e Grenoble
Alpes) as part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nIn this t
alk\, I will survey classification results for vector bundles on smooth th
reefolds \nover an algebraically closed field. I will start with classical
results in the affine case\, \nand then show how to complete the classifi
cation in that case. Then\, I will pass to quasi-projective threefolds\, f
ocusing on the case of complex varieties.\n\nzoom.us/join\n\nMeeting ID: 9
086116889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simon Pepin Lehalleur (University of Amsterdam)
DTSTART:20240228T144500Z
DTEND:20240228T160000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/33
DESCRIPTION:Title: Cohomology and motives of moduli spaces of Higgs bundles and motivic m
irror symmetry\nby Simon Pepin Lehalleur (University of Amsterdam) as
part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nHiggs bundles are ve
ctor bundles equipped with an additional "twisted\nendomorphism". Introduc
ed by Nigel Hitchin in a context of\nmathematical physics\, they have turn
ed to be central objects in\ndifferential and algebraic geometry. In parti
cular\, moduli spaces of\nHiggs bundles have a very rich geometry that is
both related to the\ngeometry of moduli of vector bundles but also has add
itional\nsymplectic features. I will introduce these moduli spaces and dis
cuss\nsome of what is known about their cohomology and their motivic\ninva
riants. There has been a lot of recent progress in this direction\nand I w
ill try to describe the main threads. I will conclude with a\ndiscussion o
f my joint work with Victoria Hoskins on a motivic version\nof the "cohomo
logical mirror symmetry" conjecture of Hausel and\nThaddeus for SL_n and P
GL_n Higgs bundles.\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\nPasscode:
362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Victoria Hoskins (Radboud University Nijmegen)
DTSTART:20240417T140000Z
DTEND:20240417T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/34
DESCRIPTION:Title: Motives of stacks of bundles and sheaves on curves\nby Victoria Ho
skins (Radboud University Nijmegen) as part of IPM Algebraic Geometry Semi
nar\n\n\nAbstract\nThe geometry of moduli spaces and stacks of vector bund
les on curves have been intensively studied from different perspectives\;
for example\, via point counting over finite fields by Harder and Narasimh
an\, and gauge theoretically by Atiyah and Bott over the complex numbers.
Following Grothendieck’s vision that a motive of an algebraic variety sh
ould capture many of its cohomological invariants\, Voevodsky introduced a
triangulated category of motives which partially realises this idea. Afte
r describing some properties of this category\, I will present a formula f
or the motive of the moduli stack of vector bundles on a smooth projective
curve\; this formula is compatible with classical computations of invaria
nts of this stack due to Harder\, Atiyah--Bott and Behrend--Dhillon. The p
roof involves rigidifying this stack using Flag-Quot schemes parametrising
Hecke modifications as well as a motivic version of an argument of Laumon
and Heinloth on the cohomology of small maps\, which is closely related t
o the Grothendieck-Springer resolution. I will explain how to extend this
to a formula for the stack of coherent sheaves and\, if there is time\, I
will give an overview of other motivic descriptions of closely related mod
uli spaces. This is joint work with Simon Pepin Lehalleur.\n\nzoom.us/join
\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Razieh Ahmadian (Shahid Beheshti University)
DTSTART:20240501T140000Z
DTEND:20240501T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/35
DESCRIPTION:Title: Hironaka's Question F and its Simplification\nby Razieh Ahmadian (
Shahid Beheshti University) as part of IPM Algebraic Geometry Seminar\n\n\
nAbstract\nA special case of Hironaka's QUESTION F\, named F'\, asks about
the strong factorization of birational maps between reduced nonsingular a
lgebraic schemes\, which is still open. Suppose that $\\varphi : X\\dashri
ghtarrow Y$ is such a map\, and let $U\\subset X$ be the open subset wher
e $\\varphi$ is an isomorphism. This problem asks if there exists a diagra
m\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 disjoint
from $U$. In this talk\, we will discuss how strong factorization can be
simplified by providing a complete answer to the problem of toroidalizatio
n of morphisms\, while we introduce the strong Oda conjecture.\n\nzoom.us/
join\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rita Pardini (University of Pisa)
DTSTART:20240515T140000Z
DTEND:20240515T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/36
DESCRIPTION:Title: Exploring the boundary of the moduli space of stable surfaces: some ex
plicit examples\nby Rita Pardini (University of Pisa) as part of IPM A
lgebraic Geometry Seminar\n\n\nAbstract\nI will briefly recall the notion
of stable surfaces and of the corresponding moduli space. Then I will outl
ine a partial description of the boundary points in the case of surfaces
with $K^2=1$\, $p_g=2$ (joint work with Stephen Coughlan\, Marco Franciosi
\, Julie Rana and Soenke Rollenske\, in various combinations) and\, time
permitting\, in the case of Campedelli and Burniat surfaces (joint work w
ith Valery Alexeev).\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\nPasscode
: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jonas Stelzig (LMU Munich)
DTSTART:20240529T140000Z
DTEND:20240529T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/37
DESCRIPTION:Title: Linear combinations of cohomological invariants of compact complex man
ifolds\nby Jonas Stelzig (LMU Munich) as part of IPM Algebraic Geometr
y Seminar\n\n\nAbstract\nIn the 50s\, Hirzebruch asked which linear combin
ations of Hodge and Chern numbers are topological invariants of compact co
mplex manifolds. Building on ideas of Schreieder and Kotschick\, who solve
d the Kähler case\, I will present a general answer to this question (and
some related ones). Furthermore\, I will outline a program how to tackle
similar questions when incorporating more cohomological invariants\, eg th
e dimensions of the Bott Chern cohomology groups. This will naturally lead
to an algebraic study of the structure of bicomplexes\, as well as a numb
er of challenging geometric construction problems.\n\nzoom.us/join\n\nMeet
ing ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emilia Mezzetti (University of Trieste)
DTSTART:20240612T140000Z
DTEND:20240612T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/38
DESCRIPTION:Title: Hilbert functions\, Lefschetz properties and Perazzo hypersurfaces
\nby Emilia Mezzetti (University of Trieste) as part of IPM Algebraic Geom
etry Seminar\n\n\nAbstract\nArtinian Gorenstein algebras (AG algebras for
short) can be viewed as algebraic analogues of the cohomology rings of smo
oth projective varieties. The Strong and Weak Lefschetz properties for gra
ded AG algebras take origin from the hard Lefschetz theorem. The propertie
s of an AG quotient $A _F$ of a polynomial ring are related to its Macaula
y dual generator $F$\, and in particular $A_F$ fails the Strong Lefschetz
property if and only if the hessian of $F$ of order $t$ vanishes for some
$1\\leq t\\leq d/2$\, where $d=\\deg F$ and the usual hessian is obtained
for $t=1$. \nPerazzo polynomials are a large class of polynomials with van
ishing hessian so their algebras $A_F$ always fail the SLP. I will report
on some recent results concerning the question if the WLP holds for these
algebras. \nJoint work with N. Abdallah\, N. Altafi\, P. De Poi\, L. Fio
rindo\, A. Iarrobino\, P. Macias Marques\, R.M. Mir ́o-Roig\, L. Nicklass
on.\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/38/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fatemeh Mohammadi (KU Leuven (Belgium))
DTSTART:20241016T140000Z
DTEND:20241016T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/39
DESCRIPTION:Title: Computational tropical geometry and its applications\nby Fatemeh M
ohammadi (KU Leuven (Belgium)) as part of IPM Algebraic Geometry Seminar\n
\n\nAbstract\nTropical geometry is a combinatorial counterpart of algebrai
c geometry\, transforming \npolynomials into piecewise linear functions an
d their solutions (varieties) into polyhedral fans. This \ntransformation
is intricately linked to the concept of Gröbner bases\, which provide a p
owerful tool in \ncomputational algebra. Specifically\, all possible Gröb
ner bases of an ideal are encoded within a polyhedral\n fan\, with the tro
pical variety appearing as a subfan. Despite its significance\, the comput
ational complexity of tropical varieties\n often limits computations to s
mall-scale instances. \nIn this talk\, we introduce a geometric approach
that enables the effective computation of various points within\n tropical
varieties. One application of this method is the computation of toric deg
enerations\, which are important objects\n in algebraic geometry. These d
egenerations can be modeled on polytopes\, and there exists a dictionary b
etween \n their geometric properties and the combinatorial invariants of
the corresponding polytopes. \n This dictionary can be extended from tori
c varieties to arbitrary varieties through toric degenerations.\n\nzoom.us
/join\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pietro De Poi (University of Udine (Italy))
DTSTART:20241113T140000Z
DTEND:20241113T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/41
DESCRIPTION:Title: The importance of being projected\nby Pietro De Poi (University of
Udine (Italy)) as part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nA
set of points Z in $\\mathbb{P}^3$\nis an (a\, b)-geproci set (for GEnera
l\nPROjection is a Complete Intersection) if its projection from\na genera
l 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\nclassification of g
eproci sets. Specifically\, we will show how\nto classify (a\, b)-geproci
sets Z which consist of a points on\neach of b skew lines\, assuming the s
kew lines have two\ntransversals in common. We will show in this case that
\nb ≤ 6.\nMoreover we will show that all geproci sets of this type and\n
with no points on the transversals are contained in the $F_4$\nconfigurati
on. We conjecture that a similar result is true for\nan arbitrary number a
of points on each skew line\,\nreplacing containment in $F_4$ by containm
ent in a half grid\nobtained by the so-called standard construction.\n\nzo
om.us/join\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/41/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Francesco Russo (University of Catania (Italy))
DTSTART:20241127T140000Z
DTEND:20241127T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/42
DESCRIPTION:Title: On smooth rational complete intersections\nby Francesco Russo (Uni
versity of Catania (Italy)) as part of IPM Algebraic Geometry Seminar\n\n\
nAbstract\nThe known results about the rationality vs irrationality of sm
ooth Fano complete\nintersections $X^n\\subset\\mathbb P^{n+c}$ of dimensi
on $n=3\,4\,5$ and fixed type $(d_1\,\\ldots\, d_c)$ suggest\nan uniform a
pproach to treat several open cases: index one\; index two\; quartic fourf
olds and fivefolds\; etc. \nFrom one hand one would like to decide the rat
ionality/irrationality of every element in the numerous cases where the st
able irrationality of\nthe very general element is known (e.g. quartic fou
rfolds and fivefolds\, quintic fivefolds\, etc)\; from \nthe other hand on
e hopes to put some further light on several longstanding\nconjectures (e.
g. the irrationality of the very general cubic fourfold). After an introdu
ction\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\nzoom.us/jo
in\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/42/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Roya Beheshti (Washington University (US))
DTSTART:20241211T140000Z
DTEND:20241211T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/43
DESCRIPTION:Title: Asymptotic Enumerativity of Tevelev Degrees\nby Roya Beheshti (Was
hington University (US)) as part of IPM Algebraic Geometry Seminar\n\n\nAb
stract\nA Tevelev degree is a type of Gromov-Witten invariant where the \n
domain curve is fixed in the moduli. After reviewing the basic definitions
and previously\n known results\, I will report on joint work with Lehmann
\, Lian\, Riedl\, Starr\, and Tanimoto\, \n where we improve the Lian-Pand
haripande bound on asymptotic enumerativity of Tevelev degrees of hypersur
faces and provide counterexamples to asymptotic enumerativity for certain
other Fano varieties.\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\nPasscod
e: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/43/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Artan Sheshmani (Harvard University- MIT IAiFi (US) & BIMSA (China
))
DTSTART:20250219T140000Z
DTEND:20250219T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/44
DESCRIPTION:Title: Tyurin degenerations\, Relative Lagrangian foliations and categorifica
tion of DT invariants\nby Artan Sheshmani (Harvard University- MIT IAi
Fi (US) & BIMSA (China)) as part of IPM Algebraic Geometry Seminar\n\n\nAb
stract\nWe discuss construction of a derived Lagrangian intersection theor
y of moduli spaces of perfect complexes\, with support on divisors on comp
act Calabi Yau threefolds. Our goal is to compute deformation invariants a
ssociated to a fixed linear system of divisors in CY3. We apply a Tyurin d
egeneration of the CY3 into a normal-crossing singular variety composed of
Fano threefolds meeting along their anti-canonical divisor. We show that
the moduli space over the Fano 4 fold given by total space of degeneration
family satisfies a relative Lagrangian foliation structure which leads to
realizing the moduli space as derived critical locus of a global (-1)-shi
fted potential function. We construct a flat Gauss-Manin connection to rel
ate the periodic cyclic homology induced by matrix factorization category
of such function to the derived Lagrangian intersection of the correspondi
ng “Fano moduli spaces”. The later provides one with categorification
of DT invariants over the special fiber (of degenerating family). The alte
rnating sum of dimensions of the categorical DT invariants of the special
fiber induces numerical DT invariants. If there is time\, we show how in t
erms of “non-derived” virtual intersection theory\, these numerical 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 based on jo
int work with Ludmil Katzarkov and Maxim Kontsevich\, recent work with Jac
ob Krykzca\, and former work with Vladimir Baranovsky.\n\nzoom.us/join\n\n
Meeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/44/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Roberto Svaldi (University of Milan)
DTSTART:20250305T140000Z
DTEND:20250305T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/45
DESCRIPTION:Title: Boundedness for fibered Calabi-Yau varieties\nby Roberto Svaldi (U
niversity of Milan) as part of IPM Algebraic Geometry Seminar\n\n\nAbstrac
t\nSeen through the lens of the Minimal Model Program\, the classification
of algebraic varieties can be summarised into two main steps: firstly\, t
he algorithm of the MMP allows to decompose a variety with mild singularit
ies\, birationally\, into a tower of fibrations whose general fibres have
ample\, anti-ample\, or numerically trivial canonical divisor. In view of
this decomposition\, the natural second step to take is to study these 3 c
lasses of algebraic varieties in detail\, for example\, studying their mod
uli theory and/or any other property that could shed light on ways to unde
rstand all possible elements that belong to such classes.\nIt turns out a
very important property to understand in this process is boundedness: a co
llection of varieties is bounded when the elements of the given collection
can be parametrised using a finite type geometric space. The property of
boundedness plays a crucial role in the construction of proper moduli spac
es of finite type. Moreover\, if a given collection of algebraic varieties
is bounded (in char 0)\, then the topological types of their underlying a
nalytic spaces belong to only finitely many homeomorphism classes: hence\,
all of their topological invariants come in just finitely many possible d
ifferent versions.\nWhile over the past 15 years\, several breakthroughs h
ave completely settled the question of boundedness (and the subsequent con
struction of moduli spaces) in the case of log canonical models (varieties
/pairs with ample canonical divisor) and Fano varieties (those with anti-a
mple canonical divisor)\, the situation is still quite unclear in the case
of trivial numerical divisor.\nIn this seminar\, I will try to explain wh
at is known\, or not\, and what those challenges are that make the situati
on quite more complicated than the other 2 cases. I will moreover explain
how we can overcome most of the issues if we assume that a K-trivial varie
ty is endowed with a fibration structure of relative dimenesion one. The s
eminar includes results from various works I developed over the past 10 ye
ars with G. Di Cerbo\, C. Birkar\, S. Filipazzi\, and C. Hacon.\nMoreover\
, I will talk about current work in progress with P. Engel\, S. Filipazzi\
, F. Greer\, M. Mauri were we show various new boundedness results for K-t
rvial varieties fibered in K3 surfaces or abelian varieties.\n\nzoom.us/jo
in\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/45/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alessio Corti (Imperial College London (UK))
DTSTART:20250416T140000Z
DTEND:20250416T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/46
DESCRIPTION:Title: The classification of Fano 3-folds and the Fano/Landau–Ginzburg corr
espondence\nby Alessio Corti (Imperial College London (UK)) as part of
IPM Algebraic Geometry Seminar\n\n\nAbstract\nI introduce Fano varieties
and the classification problem. I explain the conjectural framework of Fan
o/Landau–Ginzburg correspondence and its consequences for the classifica
tion of Fano varieties. I intend this to be an accessible colloquium-style
presentation.\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\nPasscode: 3628
80\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/46/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rosa Maria Miró-Roig (University of Barcelona (Spain))
DTSTART:20250430T140000Z
DTEND:20250430T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/47
DESCRIPTION:Title: Lagrangian subspaces of the moduli space of simple sheaves on K3 surfa
ces\nby Rosa Maria Miró-Roig (University of Barcelona (Spain)) as par
t of IPM Algebraic Geometry Seminar\n\n\nAbstract\nLet $X$ be a smooth con
nected projective $K3$ surface over the complex numbers and let $Spl(r\; c
_1\, c_2)$\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 non-dege
nerate 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/join\n\nMe
eting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/47/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sándor Kovács (University of Washington (US))
DTSTART:20250514T140000Z
DTEND:20250514T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/48
DESCRIPTION:Title: KSB stability is automatic in codimension 3\nby Sándor Kovács (U
niversity of Washington (US)) as part of IPM Algebraic Geometry Seminar\n\
n\nAbstract\nI will start with a review of KSB/A stability\, especially th
eir local version and then discuss \njoint work with János Kollár\, show
ing that it is enough to check these conditions\, including flatness\, up
to codimension 2. \nThis implies that we have a very good understanding of
this stability condition in general\, because local KSB-stability is\n tr
ivial at codimension 1 points\, and quite well understood at codimension 2
points\, since we have a complete classification of 2-dimensional slc sin
gularities.\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\nPasscode: 362880\
n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/48/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elena Guardo (University of Catania (Italy))
DTSTART:20250528T140000Z
DTEND:20250528T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/49
DESCRIPTION:Title: Hadamard products of symbolic powers and Hadamard fat grids\nby El
ena Guardo (University of Catania (Italy)) as part of IPM Algebraic Geomet
ry Seminar\n\n\nAbstract\nIn this talk we study some properties of the Had
amard\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 coordinates 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 collinear po
ints with\ngiven multiplicites. The most important invariants of\nHadamard
fat grids\, as minimal resolution\, Waldschmidt\nconstant and resurgence\
, are then computed using also\ntools and known results in ${\\mathbb{P}}^
1\\times{\\mathbb{P}}^1$.\n (This is a joint work\nwith I. Bahmani Jafarlo
o\, C. Bocci\, G. Malara).\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\nPa
sscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/49/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Farhad Babaee (University of Bristol (UK))
DTSTART:20251008T140000Z
DTEND:20251008T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/50
DESCRIPTION:Title: Tropical geometry and currents\nby Farhad Babaee (University of Br
istol (UK)) as part of IPM Algebraic Geometry Seminar\n\n\nAbstract\nIn th
is talk\, I will review several key concepts in Tropical Geometry\, highli
ghting the naturality and numerous applications that arise when integratin
g the Theory of Positive Closed Currents into this framework. This talk is
based on previous works with June Huh\, Karim Adiprasito and Tien Cuong D
inh.\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/50/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fabio Tanania (University of Milano-Bicocca (Italy))
DTSTART:20251022T140000Z
DTEND:20251022T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/51
DESCRIPTION:Title: Isotropic motivic fundamental groups\nby Fabio Tanania (University
of Milano-Bicocca (Italy)) as part of IPM Algebraic Geometry Seminar\n\n\
nAbstract\nLet $X$ be a smooth variety over a field k\, and let $MBP^{iso}
$ denote the isotropic \nmotivic Brown-Peterson spectrum. In this talk\, I
will discuss the category of cellular $MBP^{iso}$-modules\, \nalso called
isotropic Tate motives\, over $X$. I will show how to endow this category
with a motivic t-structure whose \nheart is Tannakian. This leads to the
definition of a new invariant\, called the isotropic motivic fundamental g
roup of $X$. \nI will end with explicit computations for the punctured pro
jective line and split tori.\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\n
Passcode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/51/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Claire Voisin (CNRS (France))
DTSTART:20251105T140000Z
DTEND:20251105T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/52
DESCRIPTION:Title: Points and zero-cycles on smooth projective varieties\nby Claire V
oisin (CNRS (France)) as part of IPM Algebraic Geometry Seminar\n\n\nAbstr
act\nGiven an algebraic variety $X$ defined by polynomial equations in sev
eral variables with coefficients in a field $K$\, \nthe most basic questi
on is whether it has $K$-points\, corresponding to solutions with $K$-coor
dinates of all these equations. \nIn general\, there are no solutions 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. The degr
ee of a $L$-point is by definition the degree of the field extension $L/
K$. The next important question is:\n what are the possible degrees of p
oints of $X$? This question is more cohomological/Chow-theoretic in natu
re and we will discuss \n recent results in the case of del Pezzo surfac
es and higher dimensional Fano varieties.\n\nzoom.us/join\n\nMeeting ID: 9
086116889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/52/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Soheyla Feyzbakhsh (Imperial College London (UK))
DTSTART:20251119T140000Z
DTEND:20251119T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/53
DESCRIPTION:Title: Hurwitz-Brill-Noether theory via K3 surfaces\nby Soheyla Feyzbakhs
h (Imperial College London (UK)) as part of IPM Algebraic Geometry Seminar
\n\n\nAbstract\nI will discuss the Brill-Noether theory of a general ellip
tic K3 surface\n using wall-crossing with respect to Bridgeland stability
conditions. As an application\, \n I will provide an example of a general
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\nMee
ting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/53/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alberto Vezzani (University of Milan (Italy))
DTSTART:20251203T140000Z
DTEND:20251203T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/54
DESCRIPTION:Title: p-adic cohomology theories using homotopy theory\nby Alberto Vezza
ni (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 properties\, foc
using on relevant applications in the study of p-adic cohomology theories.
In particular\, we will present the six-functor formalism they are equipp
ed with\, the continuity/spreading-out property\, compact generation\, and
the identification between an analytic motive over a local field and a mo
nodromy operator acting on its nearby cycle. We will sketch the proofs of
these facts\, highlighting the role of homotopies at each stage. Several a
pplications will be presented\, especially concerning the definition and s
tudy of rigid\, de Rham\, and Hyodo-Kato cohomologies.\n\nzoom.us/join\n\n
Meeting ID: 9086116889\n\nPasscode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/54/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hélène Esnault (Freie Universität Berlin (Germany))
DTSTART:20251217T140000Z
DTEND:20251217T153000Z
DTSTAMP:20260422T212833Z
UID:IPMAlgGeom/55
DESCRIPTION:Title: Restriction map in cohomology\nby Hélène Esnault (Freie Universi
tät Berlin (Germany)) as part of IPM Algebraic Geometry Seminar\n\n\nAbst
ract\nWe‘ll extract from Grothendieck’s generalized Hodge conjecture o
ne small piece which is purely algebraic and explain a few insights one ca
n reach using modern integral p-adic method\; (work in progress with Alexa
nder Petrov and Mark Kisin).\n\nzoom.us/join\n\nMeeting ID: 9086116889\n\n
Passcode: 362880\n
LOCATION:https://researchseminars.org/talk/IPMAlgGeom/55/
END:VEVENT
END:VCALENDAR