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SUMMARY:The categorified Burau representation - Anthony Licata (Australian
  National University)
DTSTART:20170118T143000Z
DTEND:20170118T153000Z
UID:TALK69997@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The goal of this talk will be to introduce a particularly impo
 rtant 2-representation of B_n - the categorified Burau representation - wh
 ich appears prominantly in&nbsp\;symplectic geometry\, algebraic geometry\
 , and in representation theory. &nbsp\;We will give several proofs of the 
 faithfulness of this 2-representation\, and explain how it allows us&nbsp\
 ;to study various structures on interest in braid theory (e.g. Garside str
 uctures\, word-length metrics\, left-invariant orders\, etc.) using tools 
 of linear and homological&nbsp\;algebra.
LOCATION:Seminar Room 1\, Newton Institute
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