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SUMMARY:Local-global compatibility at l=p for torsion automorphic Galois r
 epresentations -  Bence Hevesi (King's College London)
DTSTART:20240227T143000Z
DTEND:20240227T153000Z
UID:TALK210553@talks.cam.ac.uk
CONTACT:Jef Laga
DESCRIPTION:Some ten years ago\, Scholze proved the existence of Galois re
 presentations associated with torsion eigenclasses appearing in the cohomo
 logy of locally symmetric spaces for GL_n over imaginary CM fields. Since 
 then\, the question of local-global compatibility for his automorphic Galo
 is representations has been an active area of research motivated by applic
 ations towards new automorphy lifting theorems. I will report on my work o
 n local-global compatibility at l=p in this direction\, generalising the r
 esults of the celebrated 10-author paper and Caraiani—Newton.
LOCATION:MR13
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