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SUMMARY:Anne-Marie Aubert (Sorbonne Université and Université Paris Cit
 é)
DTSTART:20241218T103000Z
DTEND:20241218T111500Z
DTSTAMP:20260502T102601Z
UID:LNT2024/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNT2024/1/">
 Stable blocks en enhanced Langlands parameters</a>\nby Anne-Marie Aubert (
 Sorbonne Université and Université Paris Cité) as part of Luxembourg Nu
 mber Theory Day 2024\n\nLecture held in Room MNO 1.030 in the Maison du No
 mbre building\, Belval Campus.\n\nAbstract\nThe decomposition into Bernste
 in blocks of the category of smooth representations of a p-adic group G ad
 mits a Galois analogue in terms of enhanced L-parameters\, in which the ro
 le of supercuspidal representations is played by « cuspidal » enhanced L
 -parameters\, a notion that originates in the construction by Lusztig of t
 he generalized Springer correspondence.\n\nWe will formulate sufficient co
 nditions to be satisfied by the local Langlands correspondence for the sup
 ercuspidal representations of the Levi subgroups of G in order to allow to
  construct a canonical bijection between the associated blocks on both sid
 es. \n\nNext\,  when these conditions are satisfied\, we will explain how 
 to gather these blocks together into bigger ones that are unions of L-pack
 ets.\n
LOCATION:https://researchseminars.org/talk/LNT2024/1/
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