Skein modules are vector spaces attached to closed 3-manifolds and reductive groups G, which capture the calculus of line operators in Chern-Simons theory. A few years ago we showed with Gunningham and Safronov that skein modules are finite-dimensional when the quantum parameter q is generic. In this talk I will give a overview of recent progress since then: I will survey the known formulas for 3-manifolds, I will explain finiteness for 3-manifolds with boundary, and with embedded line defects, and I'll also explain a new kind of finiteness result for skein categories.
- Organizer: Centre for Quantum Mathematics
- Address: Campusvej 55, 5230 Odense M
- Contact Email: qm@sdu.dk
- Add to your calendar: https://eom.sdu.dk:443/events/ical/73efd31d-2b80-4578-a659-e296374c3037