22 citations · 48 across the 7 of their papers we have counts for
7 papers
A Langlands dual realization of coherent sheaves on the nilpotent cone
Harrison Chen, Gurbir Dhillon
Let and be Langlands dual connected reductive groups. We establish a monoidal equivalence of -categories between equivariant quasicoherent sheaves on the fo…
Between Coherent and Constructible Local Langlands Correspondences
David Ben-Zvi, Harrison Chen, David Helm +1
Refined forms of the local Langlands correspondence seek to relate representations of reductive groups over local fields with sheaves on stacks of Langlands parameters. But what ki…
Categorical cyclic homology and filtered -modules on stacks: Koszul duality
Harrison Chen
Motivated by applications to the categorical and geometric local Langlands correspondences, we establish an equivalence between the category of filtered -modules on a…
Coherent Springer theory and the categorical Deligne-Langlands correspondence
David Ben-Zvi, Harrison Chen, David Helm +1
Kazhdan and Lusztig identified the affine Hecke algebra with an equivariant -group of the Steinberg variety, and applied this to prove the Deligne-Langlands conjec…
Equivariant localization and completion in cyclic homology and derived loop spaces
Harrison Chen
We prove an equivariant localization theorem over an algebraically closed field of characteristic zero for smooth quotient stacks by reductive groups in the setting of derive…
Category O for Rational Cherednik Algebras H_{t,c}(GL_2(F_p),h) in Characteristic p
Martina Balagovic, Harrison Chen
In this paper we describe the characters of irreducible objects in category O for the rational Cherednik algebra associated to GL_2(F_p) over an algebraically closed field of posit…
Representations of Rational Cherednik Algebras in Positive Characteristic
Martina Balagovic, Harrison Chen
We study rational Cherednik algebras over an algebraically closed field of positive characteristic. We first prove several general results about category O, and then focus on ratio…