University of Cambridge > Talks.cam > Number Theory Seminar > Local-global compatibility at l=p for torsion automorphic Galois representations

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

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  • User Bence Hevesi (King's College London)
  • ClockTuesday 27 February 2024, 14:30-15:30
  • HouseMR13.

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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