Geometry, Topology and Categorification Seminar: Asymptotics of quantum invariants of surface diffeomorphisms

Monday, August 31, 2020 at 2:30pm to 3:45pm

This is a past event.
Virtual Event

Francis Bonahon, USC

The Kashaev-Murakami-Murakami Volume Conjecture connects the colored Jones polynomials of a knot to the hyperbolic volume of its complement. More precisely, for each integer n, one evaluates the n-th Jones polynomial of the knot at the n-root of unity exp(2 pi i/n). The Volume Conjecture predicts that this sequence grows exponentially as n tends to infinity, with exponential growth rate related to the hyperbolic volume of the knot complement. I will discuss a closely related conjecture for diffeomorphisms of surfaces, based on the representation theory of the quantum Teichmüller spaceand/or the Kauffman bracket skein algebra of the surface. I will present experimental evidence for this conjecture, and describe partial results obtained in work in progress. This is joint work with Tian Yang and Helen Wong.

Join Zoom Meeting

Meeting ID: 996 9808 2212
Passcode: 102110

Event Type

Lecture / Talk / Workshop

Add this to your calendar

Recent Activity