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The categorified Burau representation

Presented by: 
Anthony Licata Australian National University
Date: 
Wednesday 18th January 2017 - 14:30 to 15:30
Venue: 
INI Seminar Room 1
Abstract: 
The goal of this talk will be to introduce a particularly important 2-representation of B_n - the categorified Burau representation - which appears prominantly in symplectic geometry, algebraic geometry, and in representation theory.  We will give several proofs of the faithfulness of this 2-representation, and explain how it allows us to study various structures on interest in braid theory (e.g. Garside structures, word-length metrics, left-invariant orders, etc.) using tools of linear and homological algebra.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons