ICTP Mathematics Seminar (Pavel PUTROV) - Wednesday, 6 December, at 14:00

[ICTP Math Section]

M A T H E M A T I C S   S E M I N A R S  2017


Wednesday, 6 December, at 14:00 hrs.


Pavel Putrov (Institute for Advanced Study)



Title:
Towards a categorification of WRT invariant of 3-manifolds


Abstract:
In my talk I will conjecture existence of certain new homological 
invariants of closed 3-manifolds. The invariants provide a 
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.




VENUE:  Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, first 
floor)