Time and place: 10/15 at 4:15–6:15 pm, Science Center (1 Oxford St), Hall E
Speaker: Mayuko Yamashita.
Title: Topological Modular Forms, its equivariant refinements and relation with supersymmetric quantum field theories.
Abstract: This talk is about the Segal-Stolz-Teichner program, which is one of the most deep and interesting topics relating homotopy theory and physics. Mathematically, they propose a geometric model of TMF, the spectrum (in homotopy theory) of Topological Modular Forms, in terms of supersymmetric quantum field theories. Their proposal, although far from solid formulation or a proof, has been a guiding principle leading us to many new interesting ideas and discoveries in both mathematics and physics. In this talk, I will give an overview of this topic, as well as my current works using equivariant twisted TMF.