Titles and Abstracts
CHANG, Seunghwan (Postech)
Title:
Extensions of rank one (phi, Gamma)-modules and crystalline
representations
Abstract:
I will talk about mod $p$ extensions of rank one $(varphi,
Gamma)$-modules
arising as mod $p$ reductions of Wach modules corresponding to crystalline
extensions of
crystalline characters, and explain how they are related to the bounded
extensions of
$(varphi, Gamma)$-modules. This is a joint work with Fred Diamond.
CHIDA, Masataka (Kyoto)
Title:
Anti-cyclotomic extensions and the central value of L-functions for modular
forms
Abstract:
In this talk, we will discuss on Selmer groups the central value of
L-functions for modular forms. In particular, we will explain an application
of an Euler system of Heegner cycles.
CHOI, Suhhyun (KAIST)
Title:
Local deformation lifting spaces of mod l Galois representations
Abstract:
In this talk, I will give results on dimensions of local deformation lifting
rings of mod l Galois representations and characterize their irreducible
components for some cases.
HARASHITA, Shushi (Kobe)
Title:
The optimal estimation of the Newton polygon
of a $p$-divisible group from its $p$-kernel
Abstract:
In this talk, we show that
there exists the supremum of the Newton polygons of
$p$-divisible groups with a given $p$-kernel type,
and give a concrete algorithm determining it.
This can be seen as an unpolarized analogue
of Oort's conjecture on the intersections of
Newton polygon strata and Ekedahl-Oort strata in the moduli space
of principally polarized abelian varieties in characteristic $p>0$.
IM, Bo-Hae (Chung-Ang)
Title:
Rational points of hypersurfaces over quasi-finite fields
Abstract:
There exists a function $f\colon \mathbb{n}\to\mathbb{n}$ such that
for every positive integer $d$, every quasi-finite field $K$ and
every projective hypersurface $X$ of degree $d$ and dimension $\ge
f(d)$, the set $X(K)$ is non-empty. This is a special case of a
more general result about intersections of hypersurfaces of fixed
degree in projective spaces of sufficiently high dimension over
fields with finitely generated Galois groups.
LEE, Dong Uk (KIAS)
Title:
A proof of a conjecture of Yasuo Morita
Abstract:
A conjecture of Yasuo Morita says that for an abelian variety defined over a number field, if its Mumford-Tate group does not have a nontrivial unipotent $\Q$-rational element, it has potentially good reduction everywhere. We prove this conjecture, using recent results obtained by Paugam and Vasiu about the same conjecture, and some fine information on general Mumford-Tate groups.
SHIHO, Atsushi (Tokyo)
Title:
On logarithmic extension of overconvergent isocrystals
Abstract:
We give a certain condition for an overconvergent
isocrystal on a smooth variety over a field of characteristic $p>0$
to extend logarithmically to its smooth compactification
whose complement is a simple normal crossing divisor.
If time permits, we also give a `cut-by-curves criterion'
for this condition.
TOMIYAMA, Yoshiyuki (Kyushu)
Title:
Galois representations ramified at infinitely many primes
Abstract:
We construct n-dimensional p-adic Galois
representations
ramified at infinitely many primes under some technical conditions.
We use the lifting theorem for n-dimensional mod p Galois
representations
to construct them.