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math.NT2026
Modular functoriality for finite groups
Sean Cotner
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 Bru…
math.NT2026
Local Langlands functoriality for Yu's supercuspidals II: Fargues--Scholze's parametrization
Sean Cotner, Tony Feng
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 fr…
math.NT2026
Local Langlands functoriality for Yu's supercuspidals I: Kaletha's parametrization
Sean Cotner, Tony Feng
This is the first of two papers dedicated to the explicit computation of the Fargues--Scholze correspondence. In this first part, we construct (inspired by, and extending, Kaletha'…