Asymptotics of Turaev-Viro invariants and volume (Giulio Belletti, Scuola Normale Superiore et Université de Toulouse)

06.12.2018 14:15

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.

Lieu

Room 17, Séminaire "Topologie et Géométrie"

Organisé par

Section de mathématiques

Intervenants

Giulio Belletti, Scuola Normale Superiore et Université de Toulouse

entrée libre

Classement

Catégorie: Séminaire