Seminar by Pavel Putrov (IAS)

Title: Towards a categorification of WRT invariant

2017.05.15 | Jane Jamshidi

Date Mon 22 May
Time 13:15 14:00
Location 1531-211 (Kol-D)

Abstract:

In my talk I will conjecture existence of certain new homological invariants of closed 3-manifolds. The invariants provide categorification of the analytically continued Witten-Reshetikhin-Turaev (WRT) invariant, have some similarities with Heegaard/monopole Floer homology and generalize Khovanov homology of knots to compact 3-manifolds. Physically such invariants can be defined as Hilbert spaces of M-theory in certain backgrounds. I will describe mathematical properties of such invariants, and how to calculate them for some specific types of 3-manifolds. The talk is mainly based on a joint work with S. Gukov, D. Pei and C. Vafa. 

NB: This talk is aimed at a general audience of mathematicians.

Seminar