## Speaker:

Peter Samuelson

## Institution:

UC Riverside

## Time:

Monday, October 21, 2019 - 4:00pm

## Location:

RH 340P

A ``skein relation'' can be viewed as a linear relation satisfied by the

R-matrix for a quantum group; one of the first uses of skein relations was

to give a combinatorial construction of Reshetikhin-Turaev invariants of

knots in S^3. The Hall algebra of an abelian (or triangulated) category

"counts extensions" in the category. We briefly describe how skein relations

appear in the Hall algebra of coherent sheaves of an elliptic curve, the

Hall algebra of the Fukaya category of a surface, and factorization homology

of a surface. No familiarity with the objects mentioned above will be

assumed for the talk.