Tony Feng

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...