Giulio BELETTI, Volume of polyhedra and quantum invariants

jeudi 1 déc. 2022, 10:30 → 12:00 Europe/Paris

In this talk I will discuss the question of what is the maximum volume of a hyperbolic polyhedron with a given combinatorics. This question naturally leads, in order to obtain a satisfying answer, to consider polyhedra with vertices "beyond infinity". I will further explain how this question arises naturally in the study of quantum invariants of 3-manifolds (and especially the volume conjecture).