Mayuko Yamashita (Perimeter): Topological elliptic genera
- Event Type
- Seminar/Symposium
- Sponsor
- UIUC math department
- Location
- Altgeld 241
- Date
- Apr 15, 2025 11:00 am
- Views
- 264
- Originating Calendar
- Topology Seminar
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 (arXiv:2412.02298) 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. Also I explain a recent update with Tilman Bauer (in preparation) proving the surjectivity results of topological elliptic genera.