A Trace-Path Integral Formula for Function Fields
dohyeongkim
27동 325호
0
1600
02.06 08:22
| 구분 | 정수론,DASOM |
|---|---|
| 일정 | 2026-03-27 11:00 ~ 12:00 |
| 강연자 | Yan Yau Cheng (University of Edinburgh) |
| 기타 | |
| 담당교수 | 김도형 |
Abstract: In a topological quantum field theory, path integrals can often be expressed instead as the trace of a monodromy action on a Hilbert space.
In this talk I will discuss an arithmetic analogue of this phenomena for function fields, where the phase space is replaced with the \ell-torsion points of the Jacobian of a curve over a finite field, the path integral is replaced with a sum over the points of J[\ell], and the monodromy is instead replaced with the Frobenius action. I will outline the proof of this result, focusing on the trace side of the computation.
