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DTSTART:20250330T030000
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DTSTAMP:20260424T204954Z
UID:648ae4752baf2809320919@ist.ac.at
DTSTART:20250515T130000
DTEND:20250515T150000
DESCRIPTION:Speaker: Anne-Marie Aubert\nhosted by Tamas Hausel\nAbstract: (
 I) Born in a letter of Robert Langlands to Andr Weil in 1967\, the Langlan
 ds program seeks to establish a far-reaching tissue of conjectures relatin
 g seemingly distant areas of mathematics\, primarily number theory\, repre
 sentation theory\, and algebraic geometry.I will give a survey of the loca
 l Langlands correspondence\, which is at the core of the program\, on both
  real and p-adic groups\, and will illustrate it on several examples.(II) 
 The Springer correspondence is an injective map from the set of irreducibl
 e representations of the Weyl group W of a complex connected reductive gro
 up G to the set of simple G-equivariant perverse sheaves on the nilpotent 
 cone. In 1984\, Lusztig promoted it to a bijective map by replacing the gr
 oup W by a collection of relative Weyl groups. I will first explain Luszti
 g's construction and its extension to possibly disconnected reductive grou
 ps. Next\, I will describe the role it plays in the Langlands corresponden
 ce for p-adic groups thanks to a Galois analogue of the Bernstein Center.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Anne-Marie Aubert: Interaction of the local Langlands program with 
 the generalized Springer correspondence
URL:https://talks-calendar.ista.ac.at/events/5624
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