Twisted geometric Satake equivalence

DOI10.1017/S1474748010000034zbMath1316.22019arXiv0809.3738WikidataQ103208344 ScholiaQ103208344MaRDI QIDQ3160684

Michael Finkelberg, Sergey Lysenko

Publication date: 8 October 2010

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.3738

zbMATH Keywords

Satake isomorphismgeometric Langlands programmonodromic perverse sheaves

Mathematics Subject Classification ID

Langlands-Weil conjectures, nonabelian class field theory (11R39) Geometric Langlands program: representation-theoretic aspects (22E57) Geometric Langlands program (algebro-geometric aspects) (14D24)

Related Items

Quantum geometric Langlands correspondence in positive characteristic: the \(\mathrm{GL}_N\) case, Distinguished theta representations for certain covering groups, Twisted geometric Satake equivalence via gerbes on the factorizable grassmannian, Geometric Eisenstein series: twisted setting, Parameters and duality for the metaplectic geometric Langlands theory, Generalized Bump-Hoffstein conjecture for coverings of the general linear groups, Whittaker coefficients of metaplectic Eisenstein series, On Shahidi local coefficients matrix, Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale, Twisted Whittaker models for metaplectic groups, THE DOUBLE COVER OF ODD GENERAL SPIN GROUPS, SMALL REPRESENTATIONS, AND APPLICATIONS, Unramified Whittaker functions for certain Brylinski-Deligne covering groups, A generalized Theta lifting, CAP representations, and Arthur parameters

Cites Work

• Twisted Whittaker model and factorizable sheaves
• Electric-magnetic duality and the geometric Langlands program
• Local Shimura correspondence
• Algebraic loop groups and moduli spaces of bundles
• Central extensions of reductive groups by \(K_2\).
• Geometric Langlands duality and representations of algebraic groups over commutative rings
• Monodromic systems on affine flag manifolds