| Speaker |
Yohei SATO ( Waseda University ) |
| Title |
非線形シュレディンガー方程式のマルチピーク解の構成 |
| Date |
Jan. 15 (Fri.) 2009, 13：30～14：30 |
| Place |
Dept. of Mathematics, Sci.Bldg., 3040 |
| Abstract |
Japanese version only
|
| Speaker |
In Dae JONG( Osaka City University ) |
| Title |
交代結び目のアレクサンダー多項式に関する研究 |
| Date |
Jan. 15 (Fri.) 2009, 13：30～14：30 |
| Place |
Dept. of Mathematics, Sci.Bldg., 3040 |
| Abstract |
Japanese version only
|
| Speaker |
Kengo KISHIMOTO ( Osaka City University ) |
| Title |
閉ブレイドの図式的変形について |
| Date |
Mar. 19 (Fri.) 2009, 10：15～11：00 |
| Place |
Dept. of Mathematics, Sci.Bldg., 3040 |
| Abstract |
Japanese version only
|
| Speaker |
Tetsuya ABE ( Osaka City University ) |
| Title |
The alternation number of a knot |
| Date |
Mar. 19 (Fri.) 2009, 9：15～10：00 |
| Place |
Dept. of Mathematics, Sci.Bldg., 3040 |
| Abstract |
Japanese version only
|
| Speaker |
Miyuki KOISO ( Nara Women's University & PRESTO, JST ) |
| Title |
Global analysis on variational problems for surfaces and its applications |
| Date |
Feb. 10 (Wed.) 2010, 16：30～17：30 |
| Place |
Dept. of Mathematics, Sci.Bldg., 3040 |
| Abstract |
We consider variational problems for surfaces with constraint. An equilibrium surface is said to be stable if the second variation of the energy functional is nonnegative for all admissible variations.
We discuss stability and bifurcations of solutions. We will give general methods and their applications to some concrete examples which may be interesting from both mathematical and physical point
of view.
|
| Speaker |
Naoko KAMADA ( Nagoya City University ) |
| Title |
結び目の安定同値類とその不変量 |
| Date |
Jan. 15 (Fri.) 2009, 14：40～15：40 |
| Place |
Dept. of Mathematics, Sci.Bldg., 3040 |
| Abstract |
Japanese version only
|
| Speaker |
Hirotaka AKIYOSHI ( Kinki University ) |
| Title |
標準的基本領域を用いた3次元双曲多様体の研究 |
| Date |
Jan. 15 (Fri.) 2009, 13：30～14：30 |
| Place |
Dept. of Mathematics, Sci.Bldg., 3040 |
| Abstract |
Japanese version only
|
| Speaker |
Ege FUJIKAWA ( Chiba University ) |
| Title |
タイヒミュラー空間の自己正則埋め込みの力学系 |
| Date |
Dec. 2 (Wed.) 2009, 16：30～17：30 |
| Place |
Dept. of Mathematics, Sci.Bldg., 3040 |
| Abstract |
Japanese version only
|
| Speaker |
Takuro MOCHIZUKI (Kyoto University) |
| Title |
On wild harmonic bundles |
| Date |
Oct. 6 (Tue.) 2009, 16:30～17:30 |
| Place |
Dept. of Mathematics, Sci.Bldg., 3040 |
| Abstract |
We will give an overview of the study on wild harmonic bundles. Very briefly, the results for tame harmonic bundles are generalized for wild harmonic bundles, and we obtain Hard Lefschetz Theorem
for semisimple (non-regular) holonomic D-modules. There are several interesting phenomena and difficulties which do not appear in the tame (regular) case. For example, the existence of turning points,
very bad singularity for meromorphic flat bundles over higher dimensional varieties, was a serious stumbling block. We also need to study Stokes structure. We would like to describe more recent results,
if it is possible.
|
| Speaker |
Atsushi ICHINO (Osaka City University) |
| Title |
Representation theory and arithmetic invariants |
| Date |
Oct. 6 (Tue.) 2009, 15:00～16:00 |
| Place |
Dept. of Mathematics, Sci.Bldg., 3040 |
| Abstract |
The local Langlands conjecture relates the representation theory of reductive groups over local fields to arithmetic objects. Based on this conjecture, it is interesting to study how representation-theoretic
invariants relate to arithmetic invariants. We explain this in the case of formal degrees.
|
| Speaker |
Kaoru ONO (Hokkaido University) |
| Title |
An analogous question to the flux conjecture concerning Lagrangian submanifolds |
| Date |
July 29 (Wed.) 2009, 16：30～17：30 |
| Place |
Dept. of Mathematics, Sci.Bldg., 3040 |
| Abstract |
A few years ago, I applied the Floer theory to prove the C^1-flux conjecture, which states that the group of Hamiltonian diffeomorphisms is closed in the identity component of the group of
symplectomorphisms with respect to the C^1-topology. (Here we assume that the symplectic manifold is compact without boundary.) I would like to discuss its analog concerning Lagrangian
submanifolds. Namely, the question is whether the quotient space of the space of Lagrangian submanifolds isotopic to a fixed one by the action of the group of Hamiltonian diffeomorphisms is
Hausdorff or not. Although it is known that the answer is negative in general, we can show the following. If a closed Lagrangian submanifold has trivial Maslov class and is unobstructed in the
sense of FOOO theory, its orbit by the action of the group of Hamiltonian diffeomorphisms is closed with respect to the C^1-topology.
|
| Speaker |
Hisayosi MATUMOTO (Tokyo University) |
| Title |
スカラー型の一般化された Verma 加群の間の準同型について |
| Date |
July 1 (Wed.) 2009, 16：30～17：30 |
| Place |
Dept. of Mathematics, Sci.Bldg., 3040 |
| Abstract |
Japanese version only
|
| Speaker |
Prof. Jozef Zajac (the State University of Applied Science in Chelm) |
| Title |
Teichmuller spaces of a Jordan curve |
| Date |
Apr. 22 (Wed.) 2009, 16：30～17：30 |
| Place |
Dept. of Mathematics, Sci.Bldg., 3040 |
| Abstract |
In this presentation we will discuss the problem of introducing the group and metric structure to the family of all admissible parametrization functions of a given oriented Jordan curve on the extended
complex plane. Introducing special number uniquely characterizing each parametrization function and then using Teichmuller metric we will show that it is bringing the construction to the Teichmuller
space of a given oriented Jordan curve. Moreover, if additionally, the Jordan curve is a quasicircle then one may associate two conjugated Teichmuller spaces of a given quasicircle. One may show that
the distance function between these conjugated spaces is determined uniquely by a constant characterizing the quasicircle.
|
Last Modified on 2015.11.24
