Local-global compatibility at l=p for torsion automorphic Galois representations

Abstract: Some 10 years ago, Scholze proved the existence of Galois representations associated with torsion classes appearing in the cohomology of locally symmetric spaces for GL_n over imaginary CM fields. Since then, the question of local-global compatibility for his automorphic Galois representations has been an active area of research. I will report on my work on verifying a rather general local-global compatibility at l=p in this direction, generalising the already existing results of the celebrated 10 author paper and Caraiani—Newton.

number theory

Audience: researchers in the topic

London number theory seminar

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