Room P4.35, Mathematics Building

Pedro Vaz, Instituto Superior Técnico
Categorified q-Schur algebra and the BMW algebra

In 1989 François Jaeger showed that the the Kauffman polynomial of a link L can be obtained as a weighted sum of HOMFLYPT polynomials on certain links associated to L. In this talk I will explain how to use a version of Jaeger's theorem to stablish a connection between the SO(2N)BMW and the q-Schur algebras. I will then present a subcategory of the Schur category which categorifies the SO(2N)BMW algebra (joint with E. Wagner).
Support: FCT, CAMGSD, New Geometry and Topology.. (Room P4.35 still to be confirmed)