5 papers · 1 filter
Rationality properties of complex representations of reductive p-adic groups
David Kazhdan, Maarten Solleveld, Yakov Varshavsky
For a reductive group G over a non-archimedean local field, we compare smooth representations over C with smooth representations over Qbar (an algebraic closure of Q). We show that…
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…
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…
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…
Modular reduction of complex representations of finite reductive groups
Roman Bezrukavnikov, Michael Finkelberg, David Kazhdan +1
The main result describes the Brauer-Nesbitt reduction of unipotent representations of a finite group of Lie type, expressing it as an explicit linear combination of the restrictio…