Séminaire Géométrie et applications
organisé par l'équipe Géométrie
-
Santharoubane Ramanujan
On kernel of quantum representations of mapping class groups
8 décembre 2025 - 14:00Salle de séminaires IRMA
This talk will be centered around some finite dimensional complex representations of mapping class groups of surfaces. More precisely, we will discuss quantum representations of mapping class groups arising from Witten-Reshetikhin–Turaev Topological Quantum Fields Theories. These are projective unitary finite dimensional complex representations of mapping class groups indexed by an integer called level. When the level is a prime number, the image of the representation lands in the integral points of an algebraic group G and is Zariski dense in G. One important open problem is to know if this image has finite index in G(Z). As I will explain, for a fixed prime level p, knowing the kernel of the representation might help knowing if the image is arithmetic or not. I will explain a joint work with Renaud Detcherry where we can give some information about this kernel, more precisely we compute the two first terms of the so-called h-adic approximation of the representation (which is a sequence of finite groups approximation of the representation). -
Baptiste Séraille
à préciser
8 décembre 2025 - 15:30Salle de séminaires IRMA
-
Neige Paulet
TBA
15 décembre 2025 - 14:00Salle de séminaires IRMA
TBA -
Sergi Burniol-Clotet
TBA
12 janvier 2026 - 14:00Salle de séminaires IRMA
TBA -
Lamine Messaci
TBA
26 janvier 2026 - 14:00Salle de séminaires IRMA
TBA -
William Sarem
TBA
2 février 2026 - 08:00Salle de séminaires IRMA
TBA -
Timothé Lemistre
TBA
23 février 2026 - 14:00Salle de séminaires IRMA
TBA -
Manuel Rivera
TBA
9 mars 2026 - 14:00Salle de séminaires IRMA