2-dimensional TQFTs from Hecke algebras

par Dr Alexander Thomas

vendredi 21 janv. 2022, 14:00 → 15:00 Europe/Paris

Fokko du Cloux (Braconnier)

We describe a construction which to a surface and a Iwahori-Hecke algebra associates an invariant which is a Laurent polynomial. More generally, this construction works for surfaces with boundary and behaves well under gluing, giving a non-commutative topological quantum field theory (TQFT). The invariant polynomial has surprising positivity properties, which are proven using Schur elements. Joint work with Vladimir Fock and Valdo Tatitscheff.