Skeins and algebras

I will look at some algebras based on braids with a quadratic relation, which are natural candidates for Homfly skein theory models. The main theme will be the use of braids in thickened surfaces to construct algebras. These readily produce the Hecke algebras and the affine Hecke algebras of type A. I will point out a problem in doing the same for the double affine Hecke algebras, along with a way round it, which also allows for extensions to the algebras by the use of closed curves and tangles in addition to braids. This is part of recent work with Peter Samuelson.
(Zoom, Meeting ID: 875 7141 5424 Password: 396786)