Add to ORKGWe show that the neutral block of the affine monodromic Hecke category for a reductive group is monoidally equivalent to the neutral block of the affine Hecke category for the endoscopic group. The semisimple complexes of both categories can be identified with the generalized Soergel bimodules via the Soergel functor. We extend this identification of semisimple complexes to the neutral blocks of the affine Hecke categories by the technical machinery developed by Bezrukavnikov and Yun.Ph.D
Abstract For a suitable small category F of homomorphisms between finite groups, we introduce two su...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2018.Cataloged fro...
The affine Hecke algebra has a remarkable commutative subalgebra corresponding to the coroot lattice...
In this paper, we use Soergel calculus to define a monoidal functor, called the evaluation functor, ...
Within the Langlands program, endoscopy is a fundamental process for relating automorphic representa...
We construct a categorification of the maximal commutative subalgebra of the type A Hecke algebra. S...
We study two kinds of categorical traces of (monoidal) dg categories, with particular interest in ca...
We study two kinds of categorical traces of (monoidal) dg categories, with particular interest in ca...
In 1989 Arthur conjectured a very precise description about the structure of automorphic representat...
In this paper we provide a "combinatorial" description of the category of tilting perverse sheaves o...
This thesis is devoted to the study of higher representation theory as introduced in [Rou4]. As this...
For each N≥4, we define a monoidal functor from Elias and Khovanov's diagrammatic version of Soergel...
We show that the category of Poisson manifolds and Poisson maps, the category of symplectic microgro...
AbstractIn this paper we construct a tensor (or monoidal) category for any two-sided cell in a finit...
We show that the category of Poisson manifolds and Poisson maps, the category of symplectic microgro...
Abstract For a suitable small category F of homomorphisms between finite groups, we introduce two su...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2018.Cataloged fro...
The affine Hecke algebra has a remarkable commutative subalgebra corresponding to the coroot lattice...
In this paper, we use Soergel calculus to define a monoidal functor, called the evaluation functor, ...
Within the Langlands program, endoscopy is a fundamental process for relating automorphic representa...
We construct a categorification of the maximal commutative subalgebra of the type A Hecke algebra. S...
We study two kinds of categorical traces of (monoidal) dg categories, with particular interest in ca...
We study two kinds of categorical traces of (monoidal) dg categories, with particular interest in ca...
In 1989 Arthur conjectured a very precise description about the structure of automorphic representat...
In this paper we provide a "combinatorial" description of the category of tilting perverse sheaves o...
This thesis is devoted to the study of higher representation theory as introduced in [Rou4]. As this...
For each N≥4, we define a monoidal functor from Elias and Khovanov's diagrammatic version of Soergel...
We show that the category of Poisson manifolds and Poisson maps, the category of symplectic microgro...
AbstractIn this paper we construct a tensor (or monoidal) category for any two-sided cell in a finit...
We show that the category of Poisson manifolds and Poisson maps, the category of symplectic microgro...
Abstract For a suitable small category F of homomorphisms between finite groups, we introduce two su...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2018.Cataloged fro...
The affine Hecke algebra has a remarkable commutative subalgebra corresponding to the coroot lattice...