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arXiv · 1407.2346

Functoriality, Smith theory, and the Brauer homomorphism

David Treumann·Akshay Venkatesh
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Abstract

If $\sigma$ is an automorphism of order $p$ of the semisimple group $\mathbf{G}$, there is a natural correspondence between mod $p$ cohomological automorphic forms on $\mathbf{G}$ and $\mathbf{G}^\sigma$. We describe this correspondence in the global and local settings.

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David Treumann, Akshay Venkatesh. 2014-07-09. Functoriality, Smith theory, and the Brauer homomorphism. https://arxiv.org/abs/1407.2346

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