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SUMMARY:Lambert A'Campo (IHES)
DTSTART:20260708T070000Z
DTEND:20260708T083000Z
DTSTAMP:20260712T233529Z
UID:HCMCAlg/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HCMCAlg/1/">
 Local-global compatibility at l=p for automorphic Galois representations o
 ver CM fields</a>\nby Lambert A'Campo (IHES) as part of KIAS HCMC Algebra 
 Seminar\n\n\nAbstract\nIn joint work with Hevesi\, Thorne and Whitmore we 
 prove that the Galois representations associated with cohomological cuspid
 al automorphic representations over CM fields are potentially semi-stable 
 and compatible with the local Langlands correspondence\, up to semisimplif
 ication. The novelty of our work is that we make no assumptions on residua
 l Galois representation. Our method relies on a bound on the torsion in th
 e cohomology of certain Shimura varieties\, which can be seen as a general
 isation of the Caraiani-Scholze vanishing theorem.\n
LOCATION:https://researchseminars.org/talk/HCMCAlg/1/
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