Seminar by Pavel Putrov (IAS)

Title: Resurgence in Chern-Simons theory

2017.05.15 | Jane Jamshidi

Date Mon 22 May
Time 14:30 15:30
Location 1531-215 (Aud-D3)


In my talk I will consider resurgence properties of Chern-Simons theory on compact 3-manifolds. The resurgence theory provides a natural analytical continuation of Witten-Reshetikhin-Turaev (WRT) invariant (Chern-Simons partition function) to complex valued levels. Such analytic continuation plays an important role in the problem of categorification of Chern-Simons theory. For a certain class of 3-manifolds the analytically continued WRT invariant can be expressed via mock modular forms. The talk is mainly based on a joint work with S. Gukov and M. Marino.