GEOMETRIC TAMELY RAMIFIED LOCAL THETA CORRESPONDENCE IN THE FRAMEWORK OF THE GEOMETRIC LANGLANDS PROGRAM

DOI10.1017/S1474748015000043zbMath1408.22022OpenAlexW2963646250MaRDI QIDQ3178582

Banafsheh Farang-Hariri

Publication date: 14 July 2016

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

Full work available at URL: https://doi.org/10.1017/s1474748015000043

zbMATH Keywords

Hecke algebrasK-theorylocal theta correspondenceperverse sheavesLanglands functorialitygeometric Langlands program

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Group actions on varieties or schemes (quotients) (14L30) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Equivariant (K)-theory (19L47) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Geometric Langlands program: representation-theoretic aspects (22E57) Geometric Langlands program (algebro-geometric aspects) (14D24)

Related Items (1)

Geometric local theta correspondence for dual reductive pairs of type II at the Iwahori level

Cites Work

• Perverse sheaves on affine flags and Langlands dual group
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• Local geometric Langlands correspondence and affine Kac-Moody algebras
• Construction of central elements in the affine Hecke algebra via nearby cycles

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