Mathematics Department Colloquium: Skein = Hall

Colloquium | November 15 | 4:10-5 p.m. | 60 Evans Hall

 Fabian Haiden, IHES

 Department of Mathematics

Starting from a topological surface one can construct 1) its skein algebra, based on the skein relation in knot theory, 2) the Hall algebra of its Fukaya category. These can be viewed as two ways of "quantizing" the surface. I will report on work in progress to show that the two coincide, once suitably defined. Along the way we will meet q-numbers, Hecke algebras, and representations over $F_1$.

 vivek@math.berkeley.edu