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UID:2181@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20180213T140000
DTEND;TZID=Europe/Paris:20180213T150000
DTSTAMP:20180129T130000Z
URL:https://www.i2m.univ-amu.fr/evenements/dirac-induction-for-rational-ch
 erednik-algebras/
SUMMARY: (...): Dirac induction for rational Cherednik algebras 
DESCRIPTION:: In this joint work with D. Ciubotaru\, we introduce the notio
 n of local and global indices of Dirac operators for a rational Cherednik 
 algebra H\, with underlying reflection group G. In the local theory\, I wi
 ll report on some relations between the (local) Dirac index of a simple mo
 dule in category O\, the graded G-character and the composition series pol
 ynomials for standard modules. In the global theory\, we introduce an "int
 egral-reflection" module over which we define and compute the index of a (
 global) Dirac operator and show that the index is independent of the param
 eters. If time permits\, I will discuss some local-global relations. https
 ://www.maths.ox.ac.uk/people/marcelo.demartino
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