2014-1 Blog Entry List

臨時解析セミナー（2月18日）

（曜日が通常と異なりますので，ご注意ください．）

$Au=f\text{ in } X,\qquad Lu=g \text{ on }\partial X,$
where $X$ is a compact manifold with boundary,
$A$ is a strongly elliptic second order operator which in local coordinates is of the form
$A=\sum_{jk}a^{jk}\partial_{x_j}\partial_{x_k}+\sum b^j\partial_{x_j} + c$
with real coefficients $a^{jk}=a^{jk}, b^j,c$ in the Htlder class $C^\tau$, $\tau>2$.
We require that
$\sum a^{jk}\xi_j\xi_k\ge \alpha |\xi|^2$ for some $\alpha>0$ and  $0\not\equiv c\le0$.

The  boundary condition $L$ is assumed to be of the form
$Lu = \mu_0\gamma_0u + \mu_1\gamma_1u,$
where $\gamma_0$ is the evaluation map at the boundary
and $\gamma_1$ is the evaluation of the exterior normal derivative at the boundary.
The $C^\tau$-functions $\mu_0$ and $\mu_1$ on $\partial X$
are supposed to be nonnegative with $\mu_0+\mu_1$ strictly positive everywhere.

Using the calculus of pseudodifferential operators with symbols of limited regularity
we then show the solvability of the boundary value problem
in various classes of Sobolev and Zygmund spaces with regularity
depending on the smoothness $\tau$ of the coefficients.
We also study the resolvent in suitable sectors of the complex plane.

\hfill (joint work with M. Hassan Zadeh)

【 場所 】 自然学系Ｄ棟　５０９教室

Tsukuba Mini-Workshop on Hopf Algebras (2月17日)

10:30-12:00  津野 祐司 (千葉工大)
13:30-15:00  増岡 彰 (筑波大)
Cleftness results on universal quantum groups
15:15-18:00  ディスカッション

集中講義（2月17日～20日）

2月18日（火）　未定　当日決定
2月19日（水）　未定　当日決定
2月20日（木）　未定　当日決定

TWINS履修申請：1月27日（月）～2月14日（金）

Tsukuba Workshop for Young Mathematicians (Feb 13-14)

Tsukuba Workshop for Young Mathematicians started in 2008 and has been held annually in Tsukuba. This workshop is organized with the aim of promoting communication and networking among young mathematicians, especially the graduate students studying at Asian universities.

Date: February 13 (Thu) - 14 (Fri), 2014
Place: The Tsukuba Center for Institutes
Address: 2-20-5 Takezono, Tsukuba, Ibaraki 305-0032, JAPAN

http://www.math.tsukuba.ac.jp/workshopyoung2014/

代数セミナー（2月12日）

Satellite Seminar to Tsukuba Workshop for Young Mathematicians

タイトル：Module categories for toroidal Lie algebra

Abstract　　In this talk,I will present some recent work on toroidal Lie algebra. We use basic formal variable techniques to study certain categories of modules for the toroidal Lie algebra τ. More specifically,we define and study two categories ετ and cτ of τ-modules using generating functions,where ετ is proved to contain the evaluation modules while cτ contains certain restricted τ-modules,the evaluation modules,and their tensor product modules. Furthermore,we classify the irreducible integrable modules in categories ετ and cτ. This is a joint work with Hongyan Guo and Shaobin Tan.

ご来聴をお待ちしています。