Geometry Seminar

Date: November 16, 2018

Time: 4:00PM - 5:00PM

Location: BLOC 628

Speaker: Giulio Belletti, Scuola Normale Superiore, Pisa

Title: Asymptotics of Turaev-Viro invariants and volume

Abstract: The basic building block of many quantum invariants of 3-manifolds and links is the quantum 6j-symbol. In this talk, I will introduce this object and show how it can produce the Turaev-Viro invariants of 3-manifolds. Furthermore, I will talk about a recent joint work with Detcherry, Kalfagianni and Yang giving an asymptotically sharp upper bound on the 6j-symbol, implying the Turaev-Viro volume conjecture for an interesting infinite family of hyperbolic 3-manifolds. If time permits, I will also briefly discuss some applications of these results to the study of quantum invariants.