Affine Hecke algebras, canonical bases and a derived Deligne-Langlands correspondence

Affine Hecke algebras, canonical bases and a derived Deligne-Langlands correspondence

<p>This thesis makes several contributions to the representation theory of affine Hecke algebras and related topics:</p> <p>• We show that there is an equivalence of triangulated categories relating certain (dg-)modules over affine Hecke algebras with certain categories of constru...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awdur:	Antor, J
Awduron Eraill:	McGerty, K
Fformat:	Traethawd Ymchwil
Iaith:	English
Cyhoeddwyd:	2024
Pynciau:	Geometric Representation Theory

Eitemau Tebyg

di-Langlands correspondence and extended observables
gan: Saebyeok Jeong, et al.
Cyhoeddwyd: (2024-06-01)

Hecke group algebras as degenerate affine Hecke algebras
gan: Florent Hivert, et al.
Cyhoeddwyd: (2008-01-01)

Algorithm for Iwahori-Matsumoto duality for tempered unipotent representations of geometric Hecke algebras of type B, C, D
gan: La, R
Cyhoeddwyd: (2023)

Stability for Representations of Hecke Algebras of Type <i>A</i>
gan: Kun Wang, et al.
Cyhoeddwyd: (2021-12-01)

Local langlands correspondence in rigid families
gan: Johansson, C, et al.
Cyhoeddwyd: (2020)

Rational Cherednik algebras and link invariants
gan: Ghedin, E
Cyhoeddwyd: (2015)

Vertex algebra constructions for (analytic) geometric Langlands in genus zero
gan: Davide Gaiotto
Cyhoeddwyd: (2024-12-01)

Finiteness of cohomology groups of stacks of shtukas as modules over Hecke algebras, and applications
gan: Cong Xue
Cyhoeddwyd: (2020-06-01)

Positive traces and analytic Langlands correspondence
gan: Klyuev, Daniil
Cyhoeddwyd: (2024)

Geometric Langlands correspondence near opers
gan: Teleman, C, et al.
Cyhoeddwyd: (2013)

Double Affine Hecke Algebras and Their Applications
gan: Etingof, Pavel I
Cyhoeddwyd: (2018)

Cyclotomic double affine Hecke algebras
gan: Alexander BRAVERMAN, et al.
Cyhoeddwyd: (2022)

Cocenters and representations of affine Hecke algebras
gan: Ciubotaru, D, et al.
Cyhoeddwyd: (2017)

On the structure of the affine asymptotic Hecke algebras
gan: BEZRUKAVNIKOV, ROMAN, et al.
Cyhoeddwyd: (2023)

Star operations for affine Hecke algebras
gan: Barbasch, D, et al.
Cyhoeddwyd: (2015)

Free probability on Hecke algebras and certain group C^{*}-algebras induced by Hecke algebras
gan: Ilwoo Cho
Cyhoeddwyd: (2016-01-01)

Hecke-Clifford Algebras and Spin Hecke Algebras IV: Odd Double Affine Type
gan: Ta Khongsap, et al.
Cyhoeddwyd: (2009-01-01)

Contragredient representations and characterizing the local Langlands correspondence
gan: Adams, Jeffrey, et al.
Cyhoeddwyd: (2018)

Double affine Hecke algebras and noncommutative geometry
gan: Oblomkov, Alexei
Cyhoeddwyd: (2006)

Crystals and affine Hecke algebras of type D
gan: Kashiwara, M, et al.
Cyhoeddwyd: (2007)

A Quantization Procedure of Fields Based on Geometric Langlands Correspondence
gan: Do Ngoc Diep
Cyhoeddwyd: (2009-01-01)

A Coherent Categorification of the Asymptotic Affine Hecke Algebra
gan: Propp, Oron Yehonatan
Cyhoeddwyd: (2023)

Langlands Duality and Invariant Differential Operators
gan: Vladimir Dobrev
Cyhoeddwyd: (2025-03-01)

On representation theory of affine Hecke algebras of type B
gan: Miemietz, V
Cyhoeddwyd: (2007)

Affineness of Deligne-Lusztig varieties for minimal length elements
gan: Bonnafe, C, et al.
Cyhoeddwyd: (2008)

Cordial elements and dimensions of affine Deligne–Lusztig varieties
gan: Xuhua He
Cyhoeddwyd: (2021-01-01)

Quantum geometric Langlands correspondence in positive characteristic: the GLN case
gan: Travkin, Roman (Roman Mikhailovich)
Cyhoeddwyd: (2012)

Quantum toroidal algebras, quantum affine algebras, and their representation theory
gan: Laurie, D
Cyhoeddwyd: (2024)

A uniform classification of discrete series representations of affine Hecke algebras
gan: Ciubotaru, D, et al.
Cyhoeddwyd: (2017)

Quasisymmetric Schur functions and modules of the $0$-Hecke algebra
gan: Vasu Tewari, et al.
Cyhoeddwyd: (2014-01-01)

Equivariant coherent sheaves, Soergel bimodules, and categorification of affine Hecke algebras
gan: Dodd, Christopher Stephen
Cyhoeddwyd: (2011)

Note on Dilogarithm Identities from Nilpotent Double Affine Hecke Algebras
gan: Tomoki Nakanishi
Cyhoeddwyd: (2012-12-01)

The topology of Hecke correspondences
gan: Gunnells, Paul E. (Paul Edward)
Cyhoeddwyd: (2005)

Hecke algebras /
gan: 396524 Krieg, Aloys
Cyhoeddwyd: (1990)

NEW REALIZATIONS OF DEFORMED DOUBLE CURRENT ALGEBRAS AND DELIGNE CATEGORIES
gan: ETINGOF, P., et al.
Cyhoeddwyd: (2022)

Deligne-Lusztig varieties and derived categories
gan: Bonnafe, C, et al.
Cyhoeddwyd: (2003)

Geometric Langlands correspondence for SL (2), PGL(2) over the pair of pants
gan: Nadler, David, et al.
Cyhoeddwyd: (2020)

DERIVED HECKE ALGEBRA AND COHOMOLOGY OF ARITHMETIC GROUPS
gan: AKSHAY VENKATESH
Cyhoeddwyd: (2019-01-01)

Geometric-algebra affine projection adaptive filter
gan: Yuetao Ren, et al.
Cyhoeddwyd: (2021-09-01)

ℤ/��ℤ-graded Lie algebras and perverse sheaves, III: Graded double affine Hecke algebra
gan: Lusztig, George, et al.
Cyhoeddwyd: (2021)