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math.AG2025
Perversity of coinvariants of affine Springer sheaves
Alexis Bouthier, David Kazhdan, Yakov Varshavsky
Using techniques of [BKV], we construct a perverse t-structure on the infinity-category of l-adic LG-equivariant sheaves on the regular-semisimple bounded locus of the loop group L…
math.AG2025
Analog of theta-lifting for a curve over dual numbers over a finite field
David Kazhdan, Alexander Polishchuk
We continue the study of automorphic functions associated with a curve over the ring , where is a finite field, begun in arXiv:2303.16259. Namely, we study an e…
math.AG2025
Endoscopic decomposition of elliptic Fargues-Scholze L-packets
David Kazhdan, Yakov Varshavsky
The main goal of this note is to show that the local L-packet of Fargues-Scholze [FS], corresponding to an elliptic L-parameter, has an endoscopic decomposition. Our argument is st…