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SUMMARY:On a theory of Dirac operators for rational Cherednik algebras - M
 arcelo De Martino (Oxford)
DTSTART:20180502T153000Z
DTEND:20180502T163000Z
UID:TALK104323@talks.cam.ac.uk
CONTACT:Christopher Brookes
DESCRIPTION:In this joint work with D. Ciubotaru\, we introduce the notion
 s of\nlocal and global indices of Dirac operators for a rational Cherednik
  algebra\nH\, with underlying reflection group G. In the local theory\, I 
 will report on\nsome relations between the (local) Dirac index of a simple
  module in\ncategory O\, the graded G-character and the composition series
  polynomials\nfor standard modules. In the global theory\, we introduce an
 \n"integral-reflection" module over which we define and compute the index 
 of a\n(global) Dirac operator and show that the index is independent of th
 e\nparameters. If time permits\, I will discuss some local-global relation
 s.\n
LOCATION:MR12
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