Séminaires : Géométrie énumérative

Equipe(s) : aa,
Responsables :Penka Georgieva, Ilia Itenberg.
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Description

Orateur(s) Campbell Wheeler - MPIM, Bonn,
Titre Quantum modularity of quantum invariants: bringing q-tilde to q-difference equations
Date21/06/2022
Horaire10:00 à 11:00
Diffusion
Résume

Recently, there has been increasing interest in solving q-difference equations associated to quantum invariants of 3-manifolds as q-series. I will discuss an algorithmic approach to constructing such solutions, studied for example by Dreyfus, and relate such solutions to state integrals of Andersen-Kashaev. Along with exact computations of monodromy, this proves quantum modularity of such solutions in examples and, in particular, the quantum modularity of the q-Borel resummation of the coloured Jones polynomial. This is based on joint work with Garoufalidis, Gu and Mariño.

Salle15-25-502
AdresseJussieu
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