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SUMMARY:Cuspidal cohomology of stacks of shtukas  - Cong Xue (Cambridge)
DTSTART:20180529T133000Z
DTEND:20180529T143000Z
UID:TALK105133@talks.cam.ac.uk
CONTACT:Beth Romano
DESCRIPTION:Let G be a split reductive group over a finite field Fq and X 
 be a smooth projective geometrically irreducible curve over Fq.\n\nWe will
  recall the classifying stacks of G-shtukas and their l-adic cohomology\, 
 which is a generalisation of the space of automorphic forms with compact s
 upport for the function field of X. We will construct the constant term mo
 rphisms on the cohomology groups and define the cuspidal cohomology\, whic
 h generalises the space of cuspidal automorphic forms. Then we will show t
 hat the cuspidal cohomology is of finite dimension and talk about some con
 sequences related to the action of Hecke algebra.
LOCATION:MR13
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