Twisted K-theory and conformal field theory, fall 2022

Mondays 5-6pm in Altgeld 443.
We'll learn about twisted K-theory, loop groups, and some examples of 2-dimensional quantum field theories.

Talks (some with notes):

1. (9/12) Representation theory of compact Lie groups (Connor & Wyatt)

2. (9/19) Equivariant K-theory (Yigal)

3. (9/26) The Borel-Weil-Bott theorem (Langwen)

4. (10/3) Projective representation theory (Levi)

5. (10/10) Loop groups (Alex)

6. (10/17) Virasoro and vacuum representations (Saaber)

7. (10/24) Twisted equivariant K-theory (Yigal)

8. (10/31) Sheaves, stacks, groupoids, gerbes, etc. (Dan)

9. (11/7) String(n) and LSpin(n) (Connor)

10. (11/14) The Freed-Hopkins-Teleman Theorem (Meng)

11. (11/28) The fusion product (Alex)

12. (12/7) WZW/CS (Dan)