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UID:1671@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20170328T140000
DTEND;TZID=Europe/Paris:20170328T150000
DTSTAMP:20170313T130000Z
URL:https://www.i2m.univ-amu.fr/evenements/elliptic-unipotent-l-packets-of
 -reductive-p-adic-groups/
SUMMARY: (...): Elliptic unipotent L-packets of reductive p-adic groups
DESCRIPTION:: In this talk\, I will consider two nonabelian Fourier transfo
 rms related to elliptic unipotent representations of semisimple p-adic gro
 ups.The elliptic representation theory concerns the study of characters mo
 dulo the proper parabolically induced ones. The unipotent category of repr
 esentations was defined by Lusztig and it can be thought of as being the s
 mallest subcategory of smooth representations that is closed under the for
 mation of L-packets and such that it contains the Iwahori representations.
  The first Fourier transform is defined on the p-adic group side in terms 
 of the pseudocoefficients of these representations and Lusztig's nonabelia
 n Fourier transform for characters of finite groups of Lie type. The secon
 d one is defined "on the dual side'' in terms of the Langlands-Kazhdan-Lus
 ztig parameters for unipotent elliptic representations of a split p-adic g
 roup. I will present a conjectural relation between them\, and exemplify t
 his conjecture in some cases that are known\, the most notable case being 
 that of split special orthogonal groups\, by the work of Moeglin and Walds
 purger. I will also try to explain the relevance of this picture to the ve
 rification of the properties of unipotent L-packets and to a geometric int
 erpretation of formal degrees of square integrable representations.The tal
 k is based on joint work with Eric Opdam. https://www.maths.ox.ac.uk/peopl
 e/dan.ciubotaru
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DTSTART:20170326T030000
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