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SUMMARY:Cohomologies of stacks of shtukas - Cong Xue (Cambridge)
DTSTART:20181009T133000Z
DTEND:20181009T143000Z
UID:TALK109825@talks.cam.ac.uk
CONTACT:Beth Romano
DESCRIPTION:I will recall the definition of cohomologies of stacks of shtu
 kas for split reductive groups\, which generalize the space of automorphic
  forms over functions fields\; and talk about the motivations.\n\nThen I w
 ill show that the cohomologies are modules of finite type over the Hecke a
 lgebra. This allows us to extend the excursion operators of V. Lafforgue f
 rom the space of cuspidal automorphic forms to the space of all automorphi
 c forms\, and gives the Langlands parametrization for some quotient spaces
  of automorphic forms.\n
LOCATION:MR11
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