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SUMMARY:Braid groups and their 2-representations - Anthony Licata (Austral
 ian National University)
DTSTART:20170117T143000Z
DTEND:20170117T153000Z
UID:TALK69944@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The main topic of this lecture series will be the Artin braid 
 group B_n. &nbsp\;We study this group using two main tools:<br>1) linear 2
 -representations of B_n\, and<br>2) annular Khovanov homology (see Eli Gri
 gsby&#39\;s lectures).<br>The first lecture will introduce the braid group
 \, explain what it means for B_n to act on a category\, and motivate the s
 tudy of 2-representations of braid groups.<br>In later lectures\, we will 
 study a particular example of a (faithful) 2-representation of B_n - the c
 ategorified Burau representation - in detail\, and explain how various str
 uctures of interest in the study of the braid group can be studied through
  the lens of this 2-representation. &nbsp\;Time permitting\, we will discu
 ss the relationship between linear 2-representations of B_n and geometric 
 representation theory.<br><br><br>
LOCATION:Seminar Room 1\, Newton Institute
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