| Speaker: | Simeng Simone Hu (U of Oxford) |
|---|---|
| Title: | Invariant differential forms on the odd graph complex |
| Date (JST): | Tue, Jul 29, 2025, 15:30 - 17:00 |
| Place: | Seminar Room A |
| Abstract: | In this talk we will introduce Kontsevich's odd commutative graph complex and describe a program to detect its non-trivial (co)homology classes via associating convergent integrals to combinatorial graphs, in the spirit of Feynman integrals. In particular, we study closed differential forms constructed using the Pfaffian of skew-symmetric matrices and whose integrals give rise to cocycles in the odd graph complex, two of which we can show are non-trivial. These forms also have alternative interpretations which give rise to connections to the cohomology of the general linear group and to topological quantum field theories. This is based on joint work with Francis Brown and Erik Panzer, and with Paul-Hermann Balduf. |
