-
Matthias Schütt (Leibniz Universität Hannover)27/10/2026, 09:30
Numerically and cohomologically trivial automorphisms form a classical topic
Go to contribution page
in algebraic geometry, especially for algebraic surfaces. I will focus on the
case of complex elliptic surfaces of Kodaira dimension one, which features
some surprising results, also in view of past claims. Much of this will be
motivated by the instructive case of Enriques surfaces.
(Joint work with Catanese,... -
Reimi Irokawa (NTT)27/10/2026, 10:45
We study degenerating families of hyperbolic dynamics over complex projective
Go to contribution page
surfaces by means of the theory of hybrid spaces by Boucksom, Favre, and
Jonsson. For an analytic family of hyperbolic automorphisms
$\{f_t\colon X_t\to X_t\}_{t\in\mathbb{D}^*}$ over projective surfaces $X_t$
that is possibly meromorphically degenerating at the origin, we consider the
family of invariant... -
Ryo Ishizuka (Institute of Science Tokyo)27/10/2026, 13:30
For smooth projective varieties in characteristic zero, Hodge-to-de Rham
Go to contribution page
spectral sequence degenerates and Akizuki--Nakano vanishing theorem holds.
However, both statements can fail in positive and mixed characteristic.
Deligne and Illusie proved that, for a smooth variety $X$ in characteristic
$p$ admitting a $W_2$-lifting and satisfying $p>\dim X$, de Rham complex
decomposes and this... -
Shou Yoshikawa (Institute of Science Tokyo)27/10/2026, 14:45
Following the talk ``Hodge--Tate splitting and Akizuki--Nakano vanishing I'',
Go to contribution page
I will continue the discussion of Hodge--Tate splitting, focusing in
particular on examples and applications. I will present characterizations
of Hodge--Tate splitting for Fano and Calabi--Yau varieties, and discuss
when Hodge--Tate splitting is preserved under various algebraic
constructions, including... -
Nao Moriyama (Kyoto U.)28/10/2026, 09:15
$\mathbb{Q}$-factoriality or log canonicity}
Go to contribution page
The minimal model program (MMP) and the abundance conjecture are central
problems in birational geometry. The MMP for log surfaces holds under
standard assumptions, such as $\mathbb{Q}$-factoriality or log canonicity.
In this talk, we show that the MMP for log surfaces fails in general. On
the other hand, intriguingly, we also mention that the... -
Yuji Odaka (RIMS, Kyoto U.)28/10/2026, 10:30
For symplectic singularities, we reveal the presence of intrinsic canonical
Go to contribution page
(local) action of $\mathbb{H}^*$ on each of them, where $\mathbb{H}$ is the
Hamilton quaternion, though conditionally for now. Its subaction of
$\mathbb{C}^*$ satisfies a certain canonicity
("K-polystability"/hyperKähler structure) which we explain. Weaker version
was predicted by Kaledin decades ago. Joint with... -
Shihoko Ishii (U. of Tokyo)28/10/2026, 11:45
The birational Kawamata--Viehweg vanishing theorem (KVV for short) is known
to hold in considerable generality in equal characteristic zero. By contrast,
it fails in general in positive characteristic. Nevertheless, it may still
hold for certain types of birational morphisms.In his 2008 paper in the Michigan Mathematical Journal, Lipman studied
Go to contribution page
sequences of blow-ups at closed points... -
Anya Nordskova (Kavli IPMU)29/10/2026, 09:30
I will present an example of a smooth projective variety $X$ for which the
Go to contribution page
braid group action on the set of full exceptional collections in $D^b(X)$
is not transitive and in fact has infinitely many orbits. Although the idea
behind the construction is quite simple and the example is not at all
exotic, this is the first case where such non-transitivity has been observed
in the realm of... -
Linghu Fan (Kavli IPMU)29/10/2026, 10:45
In this talk, we consider the quotient singularities associated to some
Go to contribution page
special linear actions of finite groups without pseudo-reflections. In
characteristic $0$, the age grading on the group, which relies on the
existence of the primitive roots of unity, is useful to study the properties
of the quotient singularities. On the other hand, when the characteristic
$p$ is positive, the age... -
Franco Rota (Université Paris-Saclay)29/10/2026, 13:30
An important question in birational and enumerative geometry is that of
Go to contribution page
contractibility of curves in higher dimensional varieties. Motivated by
this, I will focus on rational curves in Calabi--Yau threefolds: the most
recent results in this direction tie contractibility with non-commutative
geometry and deformation theory, through a local model for the formal
neighborhood of the... -
Alastair Craw (U. of Bath)29/10/2026, 14:45
For a finite subgroup $G$ of $\operatorname{SL}(3,\mathbb{C})$, the
Go to contribution page
$G$-Hilbert scheme is a crepant resolution of the quotient singularity
$\mathbb{C}^3/G$, and the universal family induces a derived equivalence
between coherent sheaves on $G$-Hilb and $G$-equivariant coherent sheaves
on $\mathbb{C}^3$. In 2009, Cautis and Logvinenko conjectured that this
equivalence sends the simple... -
Hyeonjun Park (KIAS)30/10/2026, 09:15
Modern enumerative invariants, such as Gromov--Witten invariants and
Go to contribution page
Donaldson--Thomas invariants, are defined through the virtual classes.
In this talk, I will introduce Lagrangian classes, whose existence was
conjectured by Joyce, as a generalization of the virtual classes via shifted
symplectic geometry. As applications, I will explain the construction of
(1) cohomological Hall... -
Mikhail Kapranov (Kavli IPMU)30/10/2026, 10:30
Differential operators of infinite order (DOI) are series in derivatives
Go to contribution page
which converge and define local operators of analytic functions. For
example, $\exp(d/dx)$ is not allowed but $\cos\sqrt{d/dx}$ is. Starting
from 1972, Sato, Kashiwara, Kawai, Takei, Yoshida and others developed a
characterization of $\theta(T)$, the Riemann theta-zerovalue, by a system
of DOI in modular variables... -
Hayato Takagi (Nagoya university)
-
Kazuki Hamada (Tokyo Metropolitan University)
-
Tianle Mao (Kavli IPMU)
-
Rin Gotou (The University of Tokyo)
-
Sota Suzuki (The University of Osaka)
-
Sou Toshima (Hokkaido University)
-
Konstantin Aleshkin (Kavli IPMU)
-
Phin-sing Soo (The University of Tokyo)
-
Shion Sawa (The University of Tokyo)
-
Kohei Aoyama (The University of Osaka)
-
Yutaro Kaijima (The University of Osaka)
-
Takuya Miyamoto (The University of Tokyo)
-
Ryoma Takeuchi (Institute of Science Tokyo)
-
Hu Xiaolong (Nagoya University)
-
Yuki Morita (The University of Tokyo)
-
Darius Dramburg (Kavli IPMU)
-
Ryotaro Iwane (The University of Tokyo)
-
Hung-Pin Chang (Nataional Taiwan University)
-
Yuto Yamada (Institute of Science Tokyo)
-
Yutaro Hiroi (The University of Osaka)
-
Natsume Kitagawa (Nagoya University)
-
Lutian Zhao (Kavli IPMU)
-
Kentaro Tanaka (Nagoya University)
-
Yutaro Naito (Nagoya University)
-
Yuto Masamura (The University of Tokyo)
-
Shu Nimura
Choose timezone
Your profile timezone: