Irving Dai (Graduate Student - Princeton University, Department of Mathematics)

Title: Involutive Floer Homology and Applications to the Homology Cobordism Group

Abstract: In this talk, we discuss some recent applications of   involutive Heegaard Floer homology (defined by Hendricks and   Manolescu) to the homology cobordism group. We establish some   non-torsion results and show that the homology cobordism group admits   an infinite-rank summand. This is joint work with Jennifer Hom,   Matthew Stoffregen, and Linh Truong.