Cohomology of p-adic Chevalley groups

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• Andrea Dotto (King's College London)
• Tuesday 11 November 2025, 14:30-15:30
• MR13.

If you have a question about this talk, please contact Dmitri Whitmore.

The F_p-cohomology of p-adic Lie groups is well understood, by work of Lazard, under a condition known as “uniformity”. However, many examples of number-theoretic interest, such as GL_n(Z_p) or its Iwahori subgroups, do not satisfy this condition. I will report on recent joint work with Bao V. Le Hung, in which we compute the F_p-cohomology of GL_n(Z_p) and more general unramified reductive groups over Z_p, and describe a connection between our results and the categorical form of the mod p local Langlands correspondence.

This talk is part of the Number Theory Seminar series.

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