## Two-side Workshop Between Math. Dept. of Kyoto University and Math. Dept. of Tsingua Univetsity

*★***Lecture**

**Time:** 8:30 — 12:15am, June 29

**Place: **Room A404, Department of Mathematical Sciences, Tsinghua Univ.

**8:30-8:45**

**Speaker:** Prof. Wenming Zou

**Title: **Introduction to math department of Tsingua University（先容数学系）

** **

**8:45-9****:****30**

**Speaker:** Prof. Tsuyoshi Kato

**Title:** Introduction to math department at Kyoto University and my research

**Abstract: **He will present an introduction to math department at Kyoto University, and his research about Hamiltonian deformation of groups acting on trees, which involves moduli theory of holomorphic curves into infinite dimensional Kaehler manifolds.

** **

**9:30-10:00 **

**Speaker:** Prof.Jie Xiao

**Title: **Derived category, Hall algebra and Quantum group

**10:00-10:15 **Tea Break

**10:15-10:45 **

**Speaker: **Prof.Akihiko Yukie

**Title: **Prehomogeneous vector spaces and number theory

**Abstract: **In this talk, he will talk about how orbits of prehomogeneous vector spaces parametrizes interesting arithmetical objects and discuss some related counting problems and zeta function theory.

** **

**10:45-11:15 **

**Speaker:** Associate Prof. Hui Ma

**Title:** Alexandrov theorem and evolution method

**Abstract: **The classical Alexandrov theorem states that any closed embedded constant mean curvature hypersurface in the Euclidean space $\mathbb{R}^{n+1}$ is a round sphere. There are different interesting proofs and it can be generalized to constant mean curvature hypersurfaces in real space forms, the product spaces $\mathbb{S}_{+}^2(\kappa)\times \mathbb{R}$ or $\mathbb{H}^2(-\kappa)\times \mathbb{R}$, or certain warped product manifolds. In this talk we will apply evolution method introduced recently by S. Brendle to show an Alexandrov type theorem for hypersurfaces with constant anisotropic mean curvature in the Euclidean space. Then we will mention a related open problem.

**11:15-11:45**

**Speaker: **Prof.Yoshio Tsutsumi

**Title: **Stochastic nonlinear dispersive equations

**Abstract: **Recently, stochastic nonlinear dispersive equations have been attracting many mathematicians.The dispersive equation is an evolution equation, which is neither Kowalevskian nor parabolic.He takes the stochastic Zakharov equations as an example and I explain what the problem is like and what is difficult about the problem.

**11:45-12:15**

**Speaker: **Ken-Ichi Yoshikawa

**Title:** Resultants and Borcherds Phi-function

**Abstract:** It is known that the classical Dedekind eta-function admits several distinct expressions.In this talk, after recalling an algebraic expression of the Dedekind eta-function due essentially to Jacobi, I will explain similar algebraic expression for the Borcherds Phi-function.