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SUMMARY:Katharina Hübner (Heidelberg)
DTSTART;VALUE=DATE-TIME:20201021T160000Z
DTEND;VALUE=DATE-TIME:20201021T170000Z
DTSTAMP;VALUE=DATE-TIME:20240624T074255Z
UID:EmmyKolloq/1
DESCRIPTION:Title: Logarithmic Differentials on Adic Spaces\nby Katharina Hübner (Hei
delberg) as part of Emmy Noether Kolloquium Mainz\n\n\nAbstract\nThe objec
t of interest in this talk is a certain subsheaf $\\Omega^+_X$ of the shea
f of differentials $\\Omega_X$ of a discretely ringed adic space $X$ over
a field $k$. The first part will be dedicated to an introduction to discr
etely ringed adic spaces. We will then define $\\Omega^+_X$ using K\\"ahle
r seminorms and establish a relation with logarithmic differentials. Final
ly we study the case where $X = Spa(U\,Y)$ for a scheme $Y$ over $k$ and a
subscheme $U$ such that the corresponding log structure on $Y$ is log smo
oth. It turns out that $\\Omega^+_X(X)$ equals $\\Omega^{log}_{(U\,Y)}(U\
,Y)$.\n
LOCATION:https://researchseminars.org/talk/EmmyKolloq/1/
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BEGIN:VEVENT
SUMMARY:Ziming Ma (CUHK)
DTSTART;VALUE=DATE-TIME:20210512T070000Z
DTEND;VALUE=DATE-TIME:20210512T080000Z
DTSTAMP;VALUE=DATE-TIME:20240624T074255Z
UID:EmmyKolloq/2
DESCRIPTION:Title: SYZ Mirror Symmetry and Maurer-Cartan equation\nby Ziming Ma (CUHK)
as part of Emmy Noether Kolloquium Mainz\n\n\nAbstract\nThe Strominger-Ya
u-Zaslow conjecture for understanding Mirror Symmetry geometrically\, lead
s to the Fukaya’s conjectural reconstruction of mirror manifolds which s
olves Maurer-Cartan equation near large limits using quantum corrections.
In this talk\, we will discuss progesses of the Fukaya’sconjecture and t
he formulation of the Maurer-Cartan equation near largestructure limits by
constructing a dgBV algebra $PV^∗(X)$\, a generalized version of the Ko
daira–Spencer dgLa\, associated to possibly degenerate Calabi–Yau vari
ety equipped with local thickening data. This talk is based onjoint works
with Kwokwai Chan\, Conan Leung and Yat-Hin Suen.\n
LOCATION:https://researchseminars.org/talk/EmmyKolloq/2/
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SUMMARY:Taro Sano (Kobe University)
DTSTART;VALUE=DATE-TIME:20210519T063000Z
DTEND;VALUE=DATE-TIME:20210519T073000Z
DTSTAMP;VALUE=DATE-TIME:20240624T074255Z
UID:EmmyKolloq/4
DESCRIPTION:Title: Construction of non-Kähler Calabi-Yau manifolds by log deformations\nby Taro Sano (Kobe University) as part of Emmy Noether Kolloquium Mainz
\n\n\nAbstract\nCalabi-Yau manifolds (in the strict sense) form an importa
nt\nclass in the classification of algebraic varieties. One can also\ncons
ider its generalisation by removing the projectivity assumption.\nClemens
and Friedman constructed infinitely many topological types of\nnon-Kähler
Calabi-Yau 3-folds whose 2nd Betti numbers are zero.\nIn this talk\, I wi
ll present examples of non-Kähler Calabi-Yau\nmanifolds with arbitrarily
large 2nd Betti numbers. The construction\nis by smoothing normal crossing
varieties.\nThe key tools of the construction are some isomorphisms betwe
en\ngeneral rational elliptic surfaces which induce isomorphisms between\n
Calabi-Yau manifolds of Schoen type.\n
LOCATION:https://researchseminars.org/talk/EmmyKolloq/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yuto Yamamoto (IBS Center for Geometry and Physics)
DTSTART;VALUE=DATE-TIME:20210526T070000Z
DTEND;VALUE=DATE-TIME:20210526T080000Z
DTSTAMP;VALUE=DATE-TIME:20240624T074255Z
UID:EmmyKolloq/5
DESCRIPTION:Title: Tropical contractions to integral affine manifolds with singularities\nby Yuto Yamamoto (IBS Center for Geometry and Physics) as part of Emmy
Noether Kolloquium Mainz\n\n\nAbstract\nWe construct contraction maps fro
m tropical Calabi--Yau varieties to the integral affine manifolds with sin
gularities that arise as the dual intersection complexes of toric degenera
tions of Calabi--Yau varieties in the Gross--Siebert program. We show that
the contractions preserve tropical cohomology groups\, and send the eigen
waves to the radiance obstructions. As an application\, we also prove the
Poincaré--Verdier duality for integral affine manifolds with singularitie
s.\n
LOCATION:https://researchseminars.org/talk/EmmyKolloq/5/
END:VEVENT
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SUMMARY:Taro Fujisawa (Tokyo Denki University)
DTSTART;VALUE=DATE-TIME:20210609T070000Z
DTEND;VALUE=DATE-TIME:20210609T080000Z
DTSTAMP;VALUE=DATE-TIME:20240624T074255Z
UID:EmmyKolloq/6
DESCRIPTION:Title: Geometric polarized log Hodge structures on the standard log point\
nby Taro Fujisawa (Tokyo Denki University) as part of Emmy Noether Kolloqu
ium Mainz\n\n\nAbstract\nI will talk about the following fact: a projectiv
e vertical exact log smooth morphism over the standard log point yields po
larized log Hodge structures on the base. In the proof of this fact\, the
case of a strict log deformation is essential. So\, I will mainly talk abo
ut this case\, and explain how to relate my previous results on the mixed
Hodge structures to log Hodge structures for a projective strict log defor
mation. If the time remained\, I will discuss a generalization to the case
of a general base point. This talk is based on a joint work with C. Nakay
ama.\n
LOCATION:https://researchseminars.org/talk/EmmyKolloq/6/
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SUMMARY:Pieter Belmans (Univ. Bonn)
DTSTART;VALUE=DATE-TIME:20210615T150000Z
DTEND;VALUE=DATE-TIME:20210615T160000Z
DTSTAMP;VALUE=DATE-TIME:20240624T074255Z
UID:EmmyKolloq/7
DESCRIPTION:Title: Hochschild cohomology of Fano 3-folds\nby Pieter Belmans (Univ. Bon
n) as part of Emmy Noether Kolloquium Mainz\n\n\nAbstract\nThe Hochschild-
Kostant-Rosenberg decomposition gives a description of the Hochschild coho
mology of a smooth projective variety in terms of the sheaf cohomology of
exterior powers of the tangent bundle. In all but a few cases it is a non-
trivial task to compute this decomposition\, and understand the extra alge
braic structure which exists on Hochschild cohomology. I will give a gener
al introduction to Hochschild cohomology and this decomposition\, and expl
ain what it looks like for Fano 3-folds (joint work with Enrico Fatighenti
and Fabio Tanturri)\, and time permitting also for partial flag varieties
(joint work with Maxim Smirnov).\n
LOCATION:https://researchseminars.org/talk/EmmyKolloq/7/
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SUMMARY:Wei Hong (Wuhan University)
DTSTART;VALUE=DATE-TIME:20210623T070000Z
DTEND;VALUE=DATE-TIME:20210623T080000Z
DTSTAMP;VALUE=DATE-TIME:20240624T074255Z
UID:EmmyKolloq/8
DESCRIPTION:Title: BV operators of the Gerstenhaber algebras of holomorphic polyvector fie
lds on toric varieties\nby Wei Hong (Wuhan University) as part of Emmy
Noether Kolloquium Mainz\n\n\nAbstract\nThe vector space of holomorphic p
olyvector fields on any complex manifold has a\nnatural Gerstenhaber algeb
ra structure. In this paper\, we study BV operators of the Gersten-\nhaber
algebras of holomorphic polyvector fields on smooth compact toric varieti
es. We give a\nnecessary and sufficient condition for the existence of BV
operators of the Gerstenhaber algebra\nof holomorphic polyvector fields on
any smooth compact toric variety.\n
LOCATION:https://researchseminars.org/talk/EmmyKolloq/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Benjamin Gammage (Harvard)
DTSTART;VALUE=DATE-TIME:20210720T150000Z
DTEND;VALUE=DATE-TIME:20210720T160000Z
DTSTAMP;VALUE=DATE-TIME:20240624T074255Z
UID:EmmyKolloq/9
DESCRIPTION:Title: Homological mirror symmetry over the SYZ base\nby Benjamin Gammage
(Harvard) as part of Emmy Noether Kolloquium Mainz\n\n\nAbstract\nThe Gros
s-Siebert program suggests that mirror symmetry is mediated by the combina
torial data of a dual pair of integral affine manifolds with singularities
and polyhedral decomposition. Much is now understood about the passage fr
om the combinatorial data to complex spaces "near the large complex struct
ure limit" -- a toric degeneration and its smoothing. In this talk\, we di
scuss the mirror procedure for moving from the combinatorial data to sympl
ectic spaces "near the large volume limit" -- a Weinstein symplectic manif
old and its compactification -- and we will explain a proof of homological
mirror symmetry between the complex and symplectic manifold associated to
local pieces of the combinatorial data. This is part of a program with Vi
vek Shende to prove homological mirror symmetry globally over the SYZ base
.\n
LOCATION:https://researchseminars.org/talk/EmmyKolloq/9/
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