Tuesdays 2:10–3:30pm, 732 Evans
We will study Lie group actions on categories and possibly
higher categories, describing a mathematical approach to low-dimensional gauge theory.
One goal may be to understand what 3-dimensional mirror symmetry wants to accomplish.
References will be updated.
Tentative schedule of lectures
|
Date |
Topic |
Speaker |
References |
|
9/9 |
Introduction and outline of the seminar |
Teleman |
1, 5 |
|
9/16 |
Discrete group actions on categories |
Teleman |
2, 6 |
|
9/23 |
Discrete gauge theories and boundary conditions |
Teleman |
1, 6 |
|
9/30 |
Fusion categories, group actions and zesting |
Chan Bae? |
|
|
10/7 |
Fully local Reshetikhin-Turaev theories (Rep/Categories seminar) |
Teleman |
|
|
10/14 |
Lie group actions on complexes and categories |
Teleman |
|
|
10/21 |
Infinitesimal approach: the Curved Cartan complex. Examples |
Teleman |
|
|
10/28 |
The Curved Cartan Complex |
Teleman |
|
|
11/4 |
The Toda space |
Zechen Bian |
|
|
11/13 |
The Toda space and gauge theory |
Teleman. Room 748, 2:10-3 |
|
|
11/18 |
(TBD, related to formality) |
Erik Herrera |
|
|
11/25 |
Boundary conditions in the Toda space and CCC |
Teleman |
|
|
12/2 |
Derived Categories and GIT |
Songyu Ye |
7, 8 |
|
12/11 |
Application: the quantum GIT conjecture |
Teleman |
Special venue Rm 736, 11-12:30. Ref: 9 |
(Berkeley Library and sometimes source links)