7 papers
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…
Applications of (higher) categorical trace II: Deligne-Lusztig theory
D. Gaitsgory, N. Rozenblyum, Y. Varshavsky
We use the formalism of the (2-category) AGCat, developed in [GRV], and the operation of higher categorical trace to (re)derive a number of results in the Deligne-Lusztig theory.
Witt affine Springer theory
Noam Nissan, Yakov Varshavsky
This paper extends the affine Springer theory developed by Bouthier, Kazhdan, and the second author (see [BKV]) to the mixed characteristic case. In particular, we introduce a theo…
Applications of (higher) categorical trace I: the definition of AGCat
Dennis Gaitsgory, Nick Rozenblyum, Yakov Varshavsky
In this paper we record the formalism of algebro-geometric DG categories (in short AGCat) following a suggestion of V. Drinfeld. This formalism will be applied to ``real-world" pro…
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…
Affine Springer fibers and depth zero L-packets
Roman Bezrukavnikov, Yakov Varshavsky
Let be a connected reductive group over a field splitting over . Following [KV,DR], a tamely unramified Langlands parameter…