MS Seminar (Mathematics - String Theory)

Speaker: Kim Taesu (Pohang University of Science and Technology)
Title: Homotopy coherent diagrams and Morse theory
Date: Tue, Aug 27, 2019, 13:15 - 14:45
Place: Seminar Room A
Abstract: Compared to the compact case, there are difficulties in studying Morse theory of noncompact manifolds. For example, gradient flow lines may escape to infinity, so its counting to define the differential cannot be done properly. To bypass this kind of issues, we introduce a different version of Morse theory based on the notion of homotopy coherent diagrams.