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.