45 citations · 117 across the 17 of their papers we have counts for
19 papers
On abstract representations of the groups of rational points of algebraic groups in positive characteristic
Mitya Boyarchenko, Igor A. Rapinchuk
We analyze the structure of a large class of connected algebraic rings over an algebraically closed field of positive characteristic using Greenberg's perfectization functor. We th…
Geometric realization of special cases of local Langlands and Jacquet-Langlands correspondences
Mitya Boyarchenko, Jared Weinstein
Let F be a non-Archimedean local field and let E be an unramified extension of F of degree n>1. To each sufficiently generic multiplicative character of E (the details are explaine…
Character sheaves on unipotent groups in characteristic p>0
Mitya Boyarchenko, Vladimir Drinfeld
These are slides for a talk given by the authors at the conference "Current developments and directions in the Langlands program" held in honor of Robert Langlands at the Northwest…
Deligne-Lusztig constructions for unipotent and p-adic groups
Mitya Boyarchenko
In 1979 Lusztig proposed a conjectural construction of supercuspidal representations of reductive p-adic groups, which is similar to the well known construction of Deligne and Lusz…
Maximal varieties and the local Langlands correspondence for GL(n)
Mitya Boyarchenko, Jared Weinstein
The cohomology of the Lubin-Tate tower is known to realize the local Langlands correspondence for GL(n) over a nonarchimedean local field. In this article we make progress towards…
A duality formalism in the spirit of Grothendieck and Verdier
Mitya Boyarchenko, Vladimir Drinfeld
We study monoidal categories that enjoy a certain weakening of the rigidity property, namely, the existence of a dualizing object in the sense of Grothendieck and Verdier. We call…