University of Cambridge > Talks.cam > Number Theory Seminar > A Trace-Path Integral Formula for Function Fields

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

A Trace-Path Integral Formula for Function Fields

Download to your calendar using vCal

  • UserYan Yau Cheng (University of Edinburgh)
  • ClockTuesday 10 March 2026, 14:30-15:30
  • HouseMR13.

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.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Yusuf Hamied Lecture Theatre, Christ's College Self Leadership&Self Management Department of Engineering, LT6

Other talks

Loke CTR Annual Meeting 2026 - Epigenetics of embryogenesis and placentation Title to be confirmed Group Presentation 3 The Neurophenomenology of Surrender: Agency, Renewal, and Social Engagement in Speaking in Tongues Title to be confirmed Title to be confirmed
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity