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Author

Sean Cotner

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Preprint Sep 2026

Local Langlands functoriality for Yu's supercuspidals II: Fargues--Scholze's parametrization

This is the second of two papers dedicated to the explicit computation of the Fargues--Scholze correspondence. We compute the Tate cohomology of cuspidal representations arising from Yu's construction. Combining this with modular functoriality in the Local Langlands Correspondence, independence of $\ell$, and the parti...

Sean Cotner, Tony Feng · 1 citation
Preprint Sep 2026

Modular functoriality for finite groups

We develop an extension of Deligne--Lusztig theory to certain (possibly infinite type) disconnected reductive groups arising from the special fibers of point stabilizers in the Bruhat--Tits building, which we call \emph{paraductive}. We then compute explicit lower bounds for the Tate cohomology of representations of pa...

Sean Cotner · 0 citations

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