2019 Thematic Program (I)

Some Topics in Equivariant and Family Index Theorems


March 11-14, 2019

W303  School of Mathematics, Sichuan University

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


Hang Wang (East China Normal University, China)


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


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)


Natural Science Foundation of China

School of Mathematics, Sichuan University

Tianyuan Mathematical Center in Southwest China