Graduate Geometry, Topology and Dynamics Seminar
Mengxue Yang
UIC
Morse Inequalities
Abstract: In this talk I will give an elementary proof of the Morse inequalities, which establish a relationship between the homology of a space and the critical points of certain smooth functions on the space plus some local information around these critical points. Some general form of these inequalities can be used to compute the Poincare polynomial (Betti numbers) for moduli spaces of Higgs bundles (of fixed low ranks).
Wednesday February 27, 2019 at 3:00 PM in 612 SEO