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SUMMARY:The Andersen-Kashaev volume conjecture for FAMED geometric triangulations  
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Ka Ho Wong (Yale) \nTitle: The Andersen-Kashaev volume conjecture for FAMED geometric triangulations \nAbstract: In the 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.
URL:https://cmsa.fas.harvard.edu/event/qft_32425/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Field Theory and Physical Mathematics
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