2019 Thematic Program (I)

Some Topics in Equivariant and Family Index Theorems

[TMCSC]

March 11-14, 2019

W303  School of Mathematics, Sichuan University

[minicourse II]Hang Wang0311-0314-01.png

SPEAKER

Hang Wang (East China Normal University, China)

ABSTRACT

In this lecture series we talk about some variations and applications of index theory. The first instance is that the equivariant indices of elliptic operators on spaces with symmetries are related to the representation theory of Lie groups. A second instance is family index in connections with gauge theory and low dimensional topology. We shall cover the following matrials:

1. Equivariant index, traces and representation theory 

2. Twisted Donaldson invariant 

3. Higher Nahm transform in noncommutative geometry

ORGANIZERD BY

An-Min Li (Chair) (Sichuan University)

Bohui Chen (Sichuan University)

Xiaojun Chen (Sichuan University)

Farkhod Eshmatov (Sichuan University)

Wenchuan Hu (Sichuan University)

Raphael Ponge (Sichuan University)

SUPPORTED BY

Natural Science Foundation of China

School of Mathematics, Sichuan University

Tianyuan Mathematical Center in Southwest China