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Giulio BELETTI, Volume of polyhedra and quantum invariants
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).