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SUMMARY:Orbit closures in the enhanced nilpotent cone - Pramod Achar (Loui
 siana State University and INI)
DTSTART:20090223T160000Z
DTEND:20090223T170000Z
UID:TALK16892@talks.cam.ac.uk
CONTACT:Anton Evseev
DESCRIPTION:Let $\\mathcal N$ denote the set of $n \\times n$ nilpotent ma
 trices. The ``enhanced nilpotent cone'' is the space $\\mathbb C&#94\;n \\
 times \\mathcal N$.  $GL(n)$ acts on $\\mathbb C&#94\;n$ in an obvious way
 \, and on $\\mathcal N$ by conjugation.  The orbits of this action are the
  subject of this talk.  From this surprisingly elementary starting point\,
  I will discuss connections to various topics in representation theory\, c
 ombinatorics\, and algebraic geometry\, and especially to Syu Kato's work 
 on the ``exotic nilpotent cone'' and affine Hecke algebras.  This is joint
  work with A. Henderson.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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