MS Seminar (Mathematics - String Theory)

Speaker: Kim Taesu (IBS Center for Geometry and Physics)
Title: Homotopy coherent diagrams and Morse theory
Date (JST): Tue, Aug 27, 2019, 13:15 - 14:45
Place: Seminar Room A
Blackboard: (Blackboard talk)
Abstract: Compared to the compact case, there are difficulties in studying Morse theory of non-compact manifolds. For example, gradient flow lines may escape to infinity, so we cannot count them properly to define the differential. To bypass this kind of issues, we introduce a different version of Morse theory based on the notion of homotopy coherent diagrams.