The Andersen-Kashaev volume conjecture for FAMED geometric triangulations
Speaker(s): Ka Ho Wong(Yale University)
Time: 10:00-11:00 July 8, 2025
Venue: Room 77201, Jingchunyuan 78, BICMR
Abstract:
In early 2010s, Andersen and Kashaev defined a TQFT based on quantum Teichmuller theory. In particular, they define a partition function for every ordered ideal triangulation of hyperbolic knot complement in $\mathbb{S}^3$ equipped with an angle structure. The Andersen-Kashaev volume conjecture suggests that the partition function can be expressed in terms of a Jones function of the knot which, in its semi-classical limit, decay exponentially with decay rate the hyperbolic volume of the knot complement. In this talk, we will introduce a purely combinatorial condition on triangulations which, together with the geometricity of the triangulations, imply the Andersen-Kashaev volume conjecture and its generalization. This talk is based on the joint work with Fathi Ben Aribi.
Time:
2025-07-08 10:00-11:00
Bio-Sketch:
Ka Ho Wong is a Gibbs Assistant Professor at Yale University. He received his Ph.D. from Texas A&M University under the supervision of Professor Tian Yang. His research focuses on the interaction between quantum topology and hyperbolic geometry of links and 3-manifolds.