Iordanis Romaidis: "Finiteness properties in skein theory"

mardi 31 mars 2026, 13:30 → 14:30 Europe/Paris

Salle 318 (IMB)

For a reductive group $G$ and a quantum parameter $q$, skein theory assigns skein algebras to surfaces and skein modules to 3-manifolds. Skein modules of closed 3-manifolds at generic $q$ were conjectured by Witten to be finite-dimensional—a statement later proved by Gunningham, Jordan, and Safronov. In this talk, I will present joint work with David Jordan on a generalization of this conjecture to 3-manifolds with boundary. In this setting, finiteness is replaced by holonomicity over the boundary skein algebra. Finally, if time permits, I will discuss aspects of the proof and ongoing work on applications to other finiteness properties of skein modules.