Asymptotics of $b$-6j symbols from $U_q\mathfrak{sl}(2; R)$ -

Asymptotics of $b$-6j symbols from $U_q\mathfrak{sl}(2; R)$

Time: 2026-05-19 Published By: He Liu

Speaker(s): Tianyue Liu (BICMR)

Time: 15:00-16:00 May 22, 2026

Venue: Room 77201, Jingchunyuan 78, BICMR

In this talk I will present recent results on various classical limits of the b-6j symbol and relate them to the geometry of hyperideal tetrahedrons. We will discuss two regimes: In the first we obtain the volume of hyperbolic tetrahedrons, which has been used to show that a Turaev-Viro type invariant recovers the hyperbolic volumes for certain three manifolds. In the second we obtain the volume of AdS tetrahedrons, which are related to the generating function between Fenchel-Nielson coordinates on a four-hole sphere. This talk is based on joint work with Shuang Ming, Xin Sun, Baojun Wu and Tian Yang.