Seminar on Geometry and Mathematical Physics
Information: T. Kohno, kohno@ms.u-tokyo.ac.jp
T. Gocho, gocho@ms.u-tokyo.ac.jp
2003年2月4日 （火）
東京大学駒場キャンパス
数理科学研究科棟(駒場)056号室
16:30 -- 18:00
Ralph Kaufmann 氏 (Max Planck Institute, Bonn)
Moduli space of decorated bounded surfaces and homotopy GBV algebras
Kaufmann氏の来日とりやめのため中止になりました．
2001年12月13日 （木）
東京大学駒場キャンパス
数理科学研究科棟(駒場)056号室
16:30 -- 17:30
Albert S. Schwarz 氏 (University of California, Davis)
Noncommutative geometry and gauge theory
April 17, 2000, 16:30 -- 18:00 Room 118
山本剛（東大数理）
Superconformal algebraの代数的構造について
概要： conformal superalgebraの$(n)$積をある部分空間に射影してできる構
造を定式化して、その上に等価な代数構造を得ることを示す。さらにその応用と
してsimple physical conformal superalgebraを分類する。分類の結果は$1$パ
ラメータを持つクラスを含み、これは従来主張されているリストに含まれていな
い。
May 22, 2000, 16:30 -- 18:00 Room 117
梶浦宏成（東大数理）
変形量子化の経路積分表示と弦理論
概要： Kontsevich により一般の Poisson 多様体上に変形量子化が 存在することが証明された.
そして Cattaneo, Felder によ りそれがある種の topological な open string
の 経路積分による量子化によって与えられることが示された. この変形量子化の経路積分表示について紹介し,
弦理論としての 変形量子化の意味づけを説明する.
May 29, 2000, 17:00 -- 18:00 Room 117
David De Wit (RIMS)
A Suite of Links-Gould Invariants
Abstract:
It is well-known that a state model for the Jones polynomial may be obtained
from an R matrix associated with the fundamental representation of the simplest
quantum algebra $U_q[sl(2)]$. This procedure holds more generally for other
representations of other algebras. In 1992, Links and Gould showed how to
obtain polynomial link invariants from quantum superalgebras. I present
a suite of such invariants in terms of explicit parameters for their state
models, and describe their properties, illustrating with some explicit computer
evaluations. Specifically, for each pair of positive integers $m$, $n$,
corresponding to the family of ($\alpha$-parametric) representations of
the quantum superalgebra $U_q[gl(m|n)]$, we construct a $2$-variable invariant
of oriented links, that I call $LG^{m,n}$. These invariants are more powerful
than the HOMFLY and Kauffman invariants.
1999
Retrospectives
September 8 (Wed), 16:30 - 18:00, Room 118
Valerio Toledano Laredo (Paris VI)
Connes fusion and Verlinde rules for loop groups of type BCD
abstract:
Extending recent work of A. Wassermann on $SU(n)$, we give
a solution to the problem of fusion for orthogonal and symplectic
loop groups. Our approach relies one the use of Connes' tensor
product of bimodules over a von Neumann algebra to define a
tensor product operation (Connes fusion) on the (integrable)
positive energy representations of a given level. The notion
of bimodules arises by restricting these representations to
loops with support contained in an interval $I\subset S^{1}$
or its complement. We study the corresponding Grothendieck
ring and show that the multiplicities of tensor product
decompositions (fusion rules) are given by the Verlinde
rules.
Time: February 3 (Wed), 17:00
Place: Room 118, Graduate School of Mathematical
Sciences, University of Tokyo, (Komaba Campus)
Speaker: Prof. Anton Zabrodin
(Institute of Theoretical and Experimental Physics)
Title: Difference analogues of the Lame operators and
Sklyanin algebra.
Information: Takashi Takebe (takebe@ms.u-tokyo.ac.jp)
1998
October 29 (Thu) 14:00--16:00, Room 122,
October 30(Fri) 10:00--12:00, Room 122,
高崎 金久 (京都大学): Kanehisa Takasaki (Kyoto University)
可積分系とモノドロミー保存変形
Integrable systems and isomonodromic deformation.
April 15 (Wednesday) 16:30 - Room 118
武部尚志 (東大数理)
楕円曲線上のある種の WZW 模型についてI
May 20 (Wednesday) 17:00 - Room 118
武部尚志 (東大数理)
楕円曲線上のある種の WZW 模型についてII
June 24 (Wednesday) 17:00 - Room 118
松尾 厚 氏 (東大数理)
On the automorphism group of the Hamming code vertex operator algebra
1997
April 9 (Wednesday) 16:30 - Room 118
T. Yushida (Tokyo Institute of Technology)
Elementary derivation of profectively flat connection
in conformal field theory
共形場理論の射影接続の初等的導出
June 18 (Wednesday) 16:30 - 18:00 Room 118
Ian Grojnowski
Elliptic cohomology
abstract： I will discuss elliptic cohomology and its equivariant versions.
July 2 (Wednesday) 16:30 - 18:00 Room 118
秦泉寺 雅夫 氏 (東京大学大学院数理科学研究科)
位相的シグマモデルにおけるビラソロ拘束条件の応用について
July 16 (Wednesday) 16:00 -- 17:00 Room 128
K. Guruprasad (Bangalore University, India)
Mutually dual presenations of the surface group and symplectic structure
on the moduli space of representations
***Retrospective (April 1996 -- February 1997)***
November 6 (Wednesday) 15:00 - 16:15 Room 118
Y. Shimizu (Kyoto University)
Chiral algebras and application (after Beilinson-Drinfeld)
February 3(Monday) 15:00 - 16:30 Room 128
H. Nakajima (University of Tokyo)
3次元
N=4 超対称 Yang-Mills gauge理論と3次元多様体の有限型不変量
(after Seiberg-Witten, Rozansky-Witten, etc...)
上のように日時と場所が変更になりました。
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April 17 (Wednesday) 16:30 - 18:00 Komaba Ichiken 212
T. Terasoma (University of Tokyo)
Intersection theory of stacks
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April 24 (Wednesday) 16:30 - 18:00 Room 118
T. Terasoma (University of Tokyo)
Revisiting Kontsevich's construction of
${\bf M_{g,n}^{comb}}$
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May 15 (Wednesday) 16:30 - 18:00 Room 118
A. N. Kirillov (University of Tokyo)
Universal exponential solution of the Yang-Baxter
equation
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June 17 (Monday) 14:45 -- 15:45 Room 410
K. Guruprasad (Indian Institute of Science)
Symplectic Geometry of the moduli space of
representations of the fundamental group of
surfaces
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July 3 (Wednesday) 16:30 - 18:00 Room 118
T. Maeno(University of Tokyo)
Formal groups associated to algebras over
the tree operad
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