Speaker: Tianyue Liu
Title: Turaev-Viro invariant from the modular double of UqSL(2;R)
Abstract: In this talk we introduce recent collaboration work with Shuang Ming, Xin Sun, Baojun Wu, and Tian Yang. We define a family of Turaev-Viro type invariants of hyperbolic 3-manifolds with totally geodesic boundary from the 6j-symbols of the modular double of Uqsl(2;R), and prove that these invariants decay exponentially with the rate the hyperbolic volume of the manifolds.