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October 2, 2025Open Access

Jacquet modules of Tate cohomology and base change lifting

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Finite length Tate cohomology groups of Galois extensions reveal structural properties of connected reductive groups.
Conjecture of Treumann and Venkatesh confirmed for Tate cohomology groups in the context of cyclic Galois extensions.
The study advances prior work by considering non-cuspidal representations of G along with depth-zero cuspidal cases.
Explicit computations conducted on the Galois action over mod-$ ext{ell}$ reductions deepen the understanding of modular representations.

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This analysis demonstrates finite length representations in non-Archimedean local fields, suggesting implications for group theory.

Dhar et al. (2025) studied this question.

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