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Topological Modular Forms, its equivariant refinements and relation with supersymmetric quantum field theories

October 15, 2024 @ 4:15 pm - 6:15 pm

Geometry and Quantum Theory Seminar

Speaker: Mayuko Yamashita, Kyoto University

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.

Details

Date:
October 15, 2024
Time:
4:15 pm - 6:15 pm
Event Category:

Venue

Science Center Hall E
1 Oxford Street
Cambridge, MA 02138 United States
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Phone:
6174967132