Wed, 22 Sep 2021

09:00 - 10:00
Virtual

### Stochastic Flows and Rough Differential Equations on Foliated Spaces

Yuzuru Inahama
(Kyushu University)
Further Information
Abstract

Stochastic differential equations (SDEs) on compact foliated spaces were introduced a few years ago. As a corollary, a leafwise Brownian motion on a compact foliated space was obtained as a solution to an SDE. In this work we construct stochastic flows associated with the SDEs by using rough path theory, which is something like a 'deterministic version' of Ito's SDE theory.

This is joint work with Kiyotaka Suzaki.

Tue, 25 Sep 2012

14:00 - 14:40
L1

### Rational torsion points of abelian varieties over a large extension of a local field

Yuichiro Taguchi
(Kyushu University)
Abstract

We extend the following theorem of H. Imai in several ways: If  $A$  is an abelian variety with potentially good reduction over a finite extension  $K$  of  $\mathbf{Q}_p$, then it has only finitely many rational torsion points over the maximal $p$-cyclotomic extension of  $K$. In particular, we prove the finiteness over $K(K^{1/p^\infty})$.

Tue, 25 Sep 2012

11:00 - 12:00
L1

### Canonical subgroups via Breuil-Kisin modules

Shin Hattori
(Kyushu University)
Abstract

The overconvergence of the canonical subgroup of the universal abelian variety is one of the key ingredients of the theory of overconvergent modular forms. In this talk, I will show the overconvergence of the canonical subgroup with expected properties via the Breuil--Kisin classification, including the case of $p=2$.

Subscribe to Kyushu University