Current trimester: TQFT and Knot Theory
The kickoff event took place at IHP on 22.04.2026 (https://indico.math.cnrs.fr/event/16226/)
Mathematics
WRT invariants as finite-dimensional integrals
bySam Hindson
Abstract:I will present ongoing joint work with J. E. Andersen and W. E. Mistegård on a general procedure for expressing WRT invariants of 3-manifolds as finite-dimensional integrals. This technique is based on the universal R-matrix construction and features Faddeev’s quantum dilogarithm in a central way. Natural follow-up questions (in the direction of Witten’s asymptotic expansion conjecture) about the semiclassical behaviour of these integrals will then be touched upon, which will involve a discussion of Yoon’s generalised potential function of a link diagram.