Colloque 2015 du GDR 2875, Topologie Algébrique et Applications

Aspects of hyperbolic scissors congruences in quantum topology

21 oct. 2015, 11:40

50m

Amphi Schwartz, bat. 1R3 (Institut de Mathématiques de Toulouse)

Exposé de recherche sur invitation TopAlg

Orateur

Prof. Stéphane Baseilhac (Montpellier)

Description

I will explain how the 2-3 triangulation move, in the context of hyperbolic polyhedra, gives rise to an essentially unique sequence of (2+1)-dimensional QFT, including the Chern-Simons functional of sl(2,C)-connections (as the classical case), quantum Teichmüller theory, and the quantum hyperbolic invariants of 3-manifolds.