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09/11/2011, 14:00 — 15:00 — Room P4.35, Mathematics Building

Pedro Vaz, *Instituto Superior Técnico*

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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 $\mathrm{SO}(2N)-\mathrm{BMW}$ and the $q$-Schur algebras. I will then present a subcategory of the Schur category which categorifies the $\mathrm{SO}(2N)-\mathrm{BMW}$ algebra (joint with E. Wagner).

Support: FCT, CAMGSD, New Geometry and Topology.. (Room P4.35 still to be confirmed)