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SUMMARY:Oded Yacobi (Sydney)
DTSTART:20220324T185000Z
DTEND:20220324T195000Z
DTSTAMP:20260423T023020Z
UID:GPRTatNU/50
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPRTatNU/50/
 ">On the action of Weyl groups on canonical bases and categorical braid gr
 oup actions</a>\nby Oded Yacobi (Sydney) as part of Geometry\, Physics\, a
 nd Representation Theory Seminar\n\n\nAbstract\nIn this talk we'll be cons
 idering the following situation: suppose we have a representation $(V\,\\p
 i)$ of a Weyl group equipped with a canonical basis.  Given an element $g$
  of the group\, can we extract interesting information about the matrix of
  $\\pi(g)$ with respect to the basis?  In general this is extremely diffic
 ult but in some situations there are beautiful answers to this question.  
 The first results in this direction are due to Berenstein-Zelevinsky and S
 tembridge\, who proved that the long element of the symmetric group acts o
 n the Kazhdan-Lusztig basis by the Schutzenberger involution on tableau.  
 I will explain vast generalizations of this theorem.  The underlying ideas
  driving these results come from braid group actions on derived categories
 .  This is based on joint work with Martin Gossow.\n
LOCATION:https://researchseminars.org/talk/GPRTatNU/50/
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