Orthosymplectic Satake equivalence

Alexander Braverman; Michael Finkelberg; Roman Travkin

doi:10.4310/CNTP.2022.v16.n4.a2

Orthosymplectic Satake equivalence

Alexander Braverman^*
, Michael Finkelberg
, Roman Travkin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

This is a companion paper of [BFGT]. We prove an equivalence relating representations of a degenerate orthosymplectic supergroup with the category of (Formula Presented)-equivariant perverse sheaves on the affine Grassmannian of SO_N. We explain how this equivalence fits into a more general framework of conjectures due to Gaiotto and to Ben-Zvi, Sakellaridis and Venkatesh.

Original language	English
Pages (from-to)	695-732
Number of pages	38
Journal	Communications in Number Theory and Physics
Volume	16
Issue number	4
DOIs	https://doi.org/10.4310/CNTP.2022.v16.n4.a2
State	Published - 2022
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2022, Communications in Number Theory and Physics. All Rights Reserved.

Keywords

Affine grassmannian
Satake equivalence
Supergroups

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10.4310/CNTP.2022.v16.n4.a2

Cite this

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AB - This is a companion paper of [BFGT]. We prove an equivalence relating representations of a degenerate orthosymplectic supergroup with the category of (Formula Presented)-equivariant perverse sheaves on the affine Grassmannian of SON. We explain how this equivalence fits into a more general framework of conjectures due to Gaiotto and to Ben-Zvi, Sakellaridis and Venkatesh.

KW - Affine grassmannian

KW - Satake equivalence

KW - Supergroups

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JO - Communications in Number Theory and Physics

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ER -

Orthosymplectic Satake equivalence

Abstract

Bibliographical note

Keywords

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