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BEGIN:VEVENT
SUMMARY:Emine Yıldırım (Queen's University)
DTSTART;VALUE=DATE-TIME:20200812T160000Z
DTEND;VALUE=DATE-TIME:20200812T173000Z
DTSTAMP;VALUE=DATE-TIME:20201031T035959Z
UID:UCGEN/1
DESCRIPTION:Title: Cluster Categories\nby Emine Yıldırım (Queen's Unive
rsity) as part of UCGEN - Uluslararası Cebirsel GEometri Neşesi\n\n\nAbs
tract\nCluster Categories are introduced to understand cluster dynamics fr
om the representation theory point of view. The subject has its roots in t
wo important results in the literature that give us a glimpse of a relatio
nship between cluster dynamics and representation theory. The first is tha
t there is an one-to-one correspondence between the cluster variables of a
finite type cluster algebra and the almost positive roots of the correspo
nding root system. The second is a well-known result by Gabriel that class
ifies finite representation type quivers by using positive roots of the co
rresponding root system. In this talk\, after giving an overview of cluste
r categories\, I will talk about a recent joint work with Charles Paquette
on the generalization of discrete cluster categories.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emre Sertöz (Leibniz University Hannover)
DTSTART;VALUE=DATE-TIME:20200819T160000Z
DTEND;VALUE=DATE-TIME:20200819T173000Z
DTSTAMP;VALUE=DATE-TIME:20201031T035959Z
UID:UCGEN/2
DESCRIPTION:Title: Separating periods of quartic surfaces\nby Emre Sertöz
(Leibniz University Hannover) as part of UCGEN - Uluslararası Cebirsel G
Eometri Neşesi\n\n\nAbstract\nKontsevich--Zagier periods form a natural n
umber system that extends the algebraic numbers by adding constants coming
from geometry and physics. Because there are countably many periods\, one
would expect it to be possible to compute effectively in this number syst
em. This would require an effective height function and the ability to sep
arate periods of bounded height\, neither of which are currently possible.
\n\nIn this talk\, we introduce an effective height function for periods o
f quartic surfaces defined over algebraic numbers. We also determine the m
inimal distance between periods of bounded height on a single surface. We
use these results to prove heuristic computations of Picard groups that re
ly on approximations of periods. Moreover\, we give explicit Liouville typ
e numbers that can not be the ratio of two periods of a quartic surface. T
his is ongoing work with Pierre Lairez (Inria\, France).\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yusuf Barış Kartal (Princeton University)
DTSTART;VALUE=DATE-TIME:20200826T160000Z
DTEND;VALUE=DATE-TIME:20200826T173000Z
DTSTAMP;VALUE=DATE-TIME:20201031T035959Z
UID:UCGEN/3
DESCRIPTION:Title: p-adic analytic actions on Fukaya categories and iterat
es of symplectomorphisms\nby Yusuf Barış Kartal (Princeton University) a
s part of UCGEN - Uluslararası Cebirsel GEometri Neşesi\n\n\nAbstract\nA
theorem of Bell\, Satriano and Sierra state that for a given smooth compl
ex surface $X$ with an automorphism $\\phi$ the set of natural numbers $n$
such that $Ext^i(F\,(\\phi^*)^n(F'))\\neq 0$ is a union of finitely many
arithmetic progressions and finitely many other numbers. Due to homologica
l mirror symmetry conjecture\, one can expect a symplectic version of this
statement. In this talk\, we will present such a theorem for a class of s
ymplectic manifolds and symplectomorphisms isotopic to identity. The techn
ique is analogous to its algebro-geometric counterpart: namely we construc
t p-adic analytic action on a version of the Fukaya category\, interpolati
ng the action of the iterates of the symplectomorphism.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Özge Ülkem (Heidelberg University)
DTSTART;VALUE=DATE-TIME:20200902T160000Z
DTEND;VALUE=DATE-TIME:20200902T173000Z
DTSTAMP;VALUE=DATE-TIME:20201031T035959Z
UID:UCGEN/4
DESCRIPTION:Title: Uniformization of the moduli space of generalized $\\m
athcal{D}$-elliptic sheaves\nby Özge Ülkem (Heidelberg University) as pa
rt of UCGEN - Uluslararası Cebirsel GEometri Neşesi\n\n\nAbstract\nDrinf
eld defined the notion of elliptic modules\, which are now called Drinfeld
modules\, as an analogue of elliptic curves in the function field setting
. To prove the Langlands correspondence in this context\, Drinfeld studied
moduli spaces of elliptic sheaves. The categories of elliptic sheaves and
Drinfeld modules are equivalent under certain conditions. Since then\, ma
ny generalizations of elliptic sheaves have been studied\, such as $\\math
cal{D}$-elliptic sheaves defined by Laumon\, Rapoport and Stuhler and Frob
enius-Hecke sheaves defined by Stuhler. In this talk\, we will give a brie
f introduction to the function field world and introduce a new generalizat
ion of elliptic sheaves\, called generalized $\\mathcal{D}$-elliptic sheav
es. We will state a uniformization theorem for the moduli space of the lat
ter and talk about the proof if time permits. This builds on work of Laumo
n-Rapoport-Stuhler\, of Hartl and of Rapoport-Zink.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mehmet Kıral (RIKEN AIP)
DTSTART;VALUE=DATE-TIME:20200909T160000Z
DTEND;VALUE=DATE-TIME:20200909T173000Z
DTSTAMP;VALUE=DATE-TIME:20201031T035959Z
UID:UCGEN/5
DESCRIPTION:Title: Kloosterman Sums for SL3 Long Word Element\nby Mehmet K
ıral (RIKEN AIP) as part of UCGEN - Uluslararası Cebirsel GEometri Neşe
si\n\n\nAbstract\nUsing the reduced word decomposition of the long word el
ement of the Weyl group element of SL3\, we give a nice expression for the
long word Kloosterman sum. First classical Kloosterman sums\, their impor
tance\, and matrix formulation will be introduced. This is joint work with
Maki Nakasuji of Sophia University (Tokyo).\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hülya Argüz (University of Versailles Saint-Quentin-En-Yvelines)
DTSTART;VALUE=DATE-TIME:20200916T150000Z
DTEND;VALUE=DATE-TIME:20200916T163000Z
DTSTAMP;VALUE=DATE-TIME:20201031T035959Z
UID:UCGEN/6
DESCRIPTION:Title: An algebro-geometric view on mirror symmetry\nby Hülya
Argüz (University of Versailles Saint-Quentin-En-Yvelines) as part of UC
GEN - Uluslararası Cebirsel GEometri Neşesi\n\n\nAbstract\nMirror symmet
ry is a phenomenon discovered by string theorists\, which relates physical
theories obtained using different deformation families of Calabi-Yau mani
folds. An algebro--geometric approach to mirror symmetry\, which uses trop
ical and log geometric tools to construct such families of Calabi--Yau man
ifolds\, is provided by the Gross-Siebert program. In this talk we will re
view the most recent advances in this program\, and particularly report on
our joint work with Mark Gross.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Umut Varolgüneş (Stanford University)
DTSTART;VALUE=DATE-TIME:20200923T160000Z
DTEND;VALUE=DATE-TIME:20200923T173000Z
DTSTAMP;VALUE=DATE-TIME:20201031T035959Z
UID:UCGEN/7
DESCRIPTION:Title: Homological mirror symmetry for chain type invertible p
olynomials\nby Umut Varolgüneş (Stanford University) as part of UCGEN -
Uluslararası Cebirsel GEometri Neşesi\n\n\nAbstract\nI will start by giv
ing a quick introduction to classical and symplectic Picard-Lefschetz theo
ry. Then\, I will explain the homological mirror symmetry (HMS) conjecture
regarding invertible polynomials. Finally\, I will sketch the A-side comp
utation that goes into proving HMS in the chain type case. This is joint w
ork with A. Polishchuk.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kadri Ilker Berktav (Middle East Technical University)
DTSTART;VALUE=DATE-TIME:20200930T150000Z
DTEND;VALUE=DATE-TIME:20200930T163000Z
DTSTAMP;VALUE=DATE-TIME:20201031T035959Z
UID:UCGEN/8
DESCRIPTION:Title: Higher Structures in Physics\nby Kadri Ilker Berktav (M
iddle East Technical University) as part of UCGEN - Uluslararası Cebirsel
GEometri Neşesi\n\n\nAbstract\nThis is an overview of higher structures
in physics. In this talk\, we intend to outline the basics of derived alge
braic geometry and its essential role in encoding the formal geometric asp
ects of moduli spaces of solutions to certain differential equations. Thro
ughout the talk\, we always study objects with higher structures in a func
torial perspective\, and we shall focus on algebraic local models for thos
e structures. To be more precise\, we shall be interested in derived geome
tric constructions and higher spaces for certain moduli problems associate
d with classical field theories and their defining equations\, the so-call
ed Euler-Lagrange equations. \nTo this end\, the talk is organized into tw
o main parts: In the first part of the talk\, we shall revisit the naïve
and algebro-geometric definition of a classical field theory together with
some examples\, and then we will establish the connection between classic
al field theories and moduli problems. In the second part of the talk\, we
first recall the basic aspects of moduli theory in a categorical perspect
ive and explain how higher-categorical notions like stacks come into play
to overcome certain technical problems naturally arising in many moduli pr
oblems. In the spirit of these discussions\, we shall also give some examp
les from gauge theory and Einstein gravity.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Selvi Kara (University of South Alabama)
DTSTART;VALUE=DATE-TIME:20201007T150000Z
DTEND;VALUE=DATE-TIME:20201007T163000Z
DTSTAMP;VALUE=DATE-TIME:20201031T035959Z
UID:UCGEN/9
DESCRIPTION:Title: Monomial Ideals of Graphs and Their Syzygies\nby Selvi
Kara (University of South Alabama) as part of UCGEN - Uluslararası Cebirs
el GEometri Neşesi\n\n\nAbstract\nGiven a homogeneous ideal $I$\n in a po
lynomial ring \n$R=k[x_1\,…\,x_n]$\,\n we can describe the structure of
$I$\n by using its minimal free resolution. All the information related to
the minimal free resolution of $I$\n is encoded in its Betti numbers. How
ever\, it is a difficult problem to express Betti numbers of any homogeneo
us ideal in a general way. Due to this difficulty\, it is common to focus
on coarser invariants of \n$I$ or particular classes of ideals. \n\nIn thi
s talk\, we consider monomial ideals associated to graphs. We will discuss
the Castelnuovo-Mumford regularity\, projective dimension\, and extremal
Betti numbers of such ideals and provide formulas for these invariants in
terms of the combinatorial data of their associated graphs. Results presen
ted in this talk are from joint works with Biermann\, O’Keefe\, Lin\, an
d Casiday.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Enis Kaya (University of Groningen)
DTSTART;VALUE=DATE-TIME:20201014T150000Z
DTEND;VALUE=DATE-TIME:20201014T163000Z
DTSTAMP;VALUE=DATE-TIME:20201031T035959Z
UID:UCGEN/10
DESCRIPTION:Title: Explicit Vologodsky Integration for Hyperelliptic Curve
s\nby Enis Kaya (University of Groningen) as part of UCGEN - Uluslararası
Cebirsel GEometri Neşesi\n\n\nAbstract\nLet X be a curve over a p-adic f
ield with semi-stable reduction and let ω be a meromorphic 1-form on X. T
here are two notions of p-adic integration one may associate to this data:
the Berkovich–Coleman integral which can be performed locally\; and the
Vologodsky integral with desirable number-theoretic properties. In this t
alk\, we present a theorem comparing the two\, and describe an algorithm f
or computing Vologodsky integrals in the case that X is a hyperelliptic cu
rve. We also illustrate our algorithm with a numerical example computed in
Sage. This talk is partly based on joint work with Eric Katz.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Irem Portakal (Otto von Guericke University Magdeburg)
DTSTART;VALUE=DATE-TIME:20201021T150000Z
DTEND;VALUE=DATE-TIME:20201021T163000Z
DTSTAMP;VALUE=DATE-TIME:20201031T035959Z
UID:UCGEN/11
DESCRIPTION:Title: Rigid toric matrix Schubert varieties\nby Irem Portakal
(Otto von Guericke University Magdeburg) as part of UCGEN - Uluslararası
Cebirsel GEometri Neşesi\n\n\nAbstract\nIn this talk\, we introduce the
usual torus action on matrix Schubert varieties. In the toric case we show
that these varieties arise from a bipartite graph. We study the first ord
er deformations of toric matrix Schubert varieties and we prove that it is
rigid if and only if the three-dimensional faces of its associated (edge)
cone are all simplicial.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Özhan Genç (Jagiellonian University)
DTSTART;VALUE=DATE-TIME:20201028T150000Z
DTEND;VALUE=DATE-TIME:20201028T163000Z
DTSTAMP;VALUE=DATE-TIME:20201031T035959Z
UID:UCGEN/12
DESCRIPTION:Title: Ulrich Trichotomy on del Pezzo Surfaces\nby Özhan Gen
ç (Jagiellonian University) as part of UCGEN - Uluslararası Cebirsel GEo
metri Neşesi\n\n\nAbstract\nA vector bundle $\\mathcal{E}$ on a projectiv
e variety $X$ in $\\mathbb{P}^N$ is Ulrich if $\\rm{H}^∗(X\,E(−k))$ va
nishes for $1 ≤k ≤\\dim(X)$. It has been conjectured by Eisenbud and S
chreyer that every projective variety carries an Ulrich bundle. Even thoug
h this conjecture has not been proved or disproved\, another interesting q
uestion is worth considering: classify projective varieties as Ulrich fini
te\, tame or wild type with respect to families of Ulrich bundles that the
y support. In this talk\, we will show that this trichotomy is exhaustive
for certain del Pezzo surfaces with any given polarization. This talk is b
ased on a joint work with Emre Coşkun.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Oğuz Şavk (Boğaziçi University)
DTSTART;VALUE=DATE-TIME:20201104T150000Z
DTEND;VALUE=DATE-TIME:20201104T163000Z
DTSTAMP;VALUE=DATE-TIME:20201031T035959Z
UID:UCGEN/13
DESCRIPTION:by Oğuz Şavk (Boğaziçi University) as part of UCGEN - Ulus
lararası Cebirsel GEometri Neşesi\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bahar Acu (Northwestern University)
DTSTART;VALUE=DATE-TIME:20201111T150000Z
DTEND;VALUE=DATE-TIME:20201111T163000Z
DTSTAMP;VALUE=DATE-TIME:20201031T035959Z
UID:UCGEN/14
DESCRIPTION:by Bahar Acu (Northwestern University) as part of UCGEN - Ulus
lararası Cebirsel GEometri Neşesi\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Özlem Ejder (Boğaziçi University)
DTSTART;VALUE=DATE-TIME:20201125T150000Z
DTEND;VALUE=DATE-TIME:20201125T163000Z
DTSTAMP;VALUE=DATE-TIME:20201031T035959Z
UID:UCGEN/15
DESCRIPTION:by Özlem Ejder (Boğaziçi University) as part of UCGEN - Ulu
slararası Cebirsel GEometri Neşesi\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ayşegül Öztürkalan (Abdullah Gül University)
DTSTART;VALUE=DATE-TIME:20201118T150000Z
DTEND;VALUE=DATE-TIME:20201118T163000Z
DTSTAMP;VALUE=DATE-TIME:20201031T035959Z
UID:UCGEN/16
DESCRIPTION:by Ayşegül Öztürkalan (Abdullah Gül University) as part o
f UCGEN - Uluslararası Cebirsel GEometri Neşesi\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sema Güntürkün (University of Massachusetts Amherst)
DTSTART;VALUE=DATE-TIME:20201202T150000Z
DTEND;VALUE=DATE-TIME:20201202T163000Z
DTSTAMP;VALUE=DATE-TIME:20201031T035959Z
UID:UCGEN/17
DESCRIPTION:by Sema Güntürkün (University of Massachusetts Amherst) as
part of UCGEN - Uluslararası Cebirsel GEometri Neşesi\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:İzzet Coşkun (University of Illinois at Chicago)
DTSTART;VALUE=DATE-TIME:20201209T150000Z
DTEND;VALUE=DATE-TIME:20201209T163000Z
DTSTAMP;VALUE=DATE-TIME:20201031T035959Z
UID:UCGEN/18
DESCRIPTION:by İzzet Coşkun (University of Illinois at Chicago) as part
of UCGEN - Uluslararası Cebirsel GEometri Neşesi\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rıza Seçkin Adalı (Koç University)
DTSTART;VALUE=DATE-TIME:20201223T150000Z
DTEND;VALUE=DATE-TIME:20201223T163000Z
DTSTAMP;VALUE=DATE-TIME:20201031T035959Z
UID:UCGEN/19
DESCRIPTION:by Rıza Seçkin Adalı (Koç University) as part of UCGEN - U
luslararası Cebirsel GEometri Neşesi\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Burçin Güneş (Sabancı University)
DTSTART;VALUE=DATE-TIME:20201216T150000Z
DTEND;VALUE=DATE-TIME:20201216T163000Z
DTSTAMP;VALUE=DATE-TIME:20201031T035959Z
UID:UCGEN/20
DESCRIPTION:by Burçin Güneş (Sabancı University) as part of UCGEN - Ul
uslararası Cebirsel GEometri Neşesi\n\nAbstract: TBA\n
END:VEVENT
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