Monoidal categorification of skein algebras
Date(s) : 06/02/2026 iCal
16h00 - 17h30
Skein algebras of surfaces are basic objects of study in quantum topology. They provide natural quantisation of character varieties. In this talk, we explain an isomorphism between the Kauffman bracket skein algebra of a genus zero surface with boundary and a quantized K-theoretic Coulomb branch. As a consequence, we see that our skein algebra arises as the Grothendieck ring of the bounded derived category of equivariant coherent sheaves on the Braverman–Finkelberg–Nakajima variety of triples. We thus obtain a monoidal categorification of the skein algebra, partially answering a question posed by D. Thurston. This is based on joint work with Dylan Allegretti and Hyun Kyu Kim.
Emplacement
Saint-Charles - FRUMAM (2ème étage)
Catégories
