Topological Elliptic Genera

by Mayuko Yamashita (University of Kyoto and CMSA in Harvard)

Thursday 28 Nov 2024, 13:30 → 15:00 Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

There is a classical notion of elliptic genera, which assigns Jacobi forms to SU-manifolds. In this talk, I explain my work with Ying-Hsuan Lin (in preparation) to give its homotopy-theoretical refinements and variants, which we call "topological elliptic genera". The codomain becomes genuinely equivariant twisted Topological Modular Forms. In this talk, I explain the construction and physical idea behind, and discuss an application where we derive an interesting divisibility result of Euler numbers for Sp-manifolds.

https://www.mpim-bonn.mpg.de/calendar