A Trace-Path Integral Formula for Function Fields

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• Yan Yau Cheng (University of Edinburgh)
• Tuesday 10 March 2026, 14:30-15:30
• MR13.

If you have a question about this talk, please contact Dmitri Whitmore.

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. Time permitting, I will also briefly outline the proof of the arithmetic trace-path integral formula.

This talk is part of the Number Theory Seminar series.

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