BPS spectra and 3-manifold invariants
Date:
Wednesday, March 29, 2017 13:45 - 15:45
Speaker:
Pavel Putrov (IAS Princeton)
Location:
Mondi Seminar Room 2, Central Building
Series:
Mathematics and CS Seminar
Host:
Tamas Hausel
Contact:
DE ANTONI Jessica
In my talk I will conjecture existence of certain new homological invariants of 3-manifolds. The invariants provide categorification of the analytically continued WRT invariant and have some similarities with Heegaard/monopole Floer homology. Physically such invariants can be defined as Hilbert spaces of M-theory in certain backgrounds. I will describe mathematical properties of such invariants, their relation to open topological strings 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.