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

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• Bence Hevesi (King's College London)
• Tuesday 27 February 2024, 14:30-15:30
• MR13.

If you have a question about this talk, please contact Jef Laga.

Some ten years ago, Scholze proved the existence of Galois representations associated with torsion eigenclasses 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 motivated by applications towards new automorphy lifting theorems. I will report on my work on local-global compatibility at l=p in this direction, generalising the results of the celebrated 10-author paper and Caraiani—Newton.

This talk is part of the Number Theory Seminar series.

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