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Loop group actions on categories and Whittaker invariants

Abstract:

The present paper is divided in three parts. In the first one, we develop the theory of D-modules on ind-schemes of pro-finite type. This allows to define D-modules on (algebraic) loop groups and, consequently, the notion of strong loop group action on a DG category. In the second part, we construct the functors of Whittaker invariants and Whittaker coinvariants, which take as input a DG category acted on by G((t)), the loop group of a reductive group G. Roughly speaking, the Whittaker invari...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1016/j.aim.2017.10.024

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
St Edmund Hall
Role:
Author
Publisher:
Elsevier Publisher's website
Journal:
Advances in Mathematics Journal website
Volume:
322
Pages:
565-636
Publication date:
2017-11-13
Acceptance date:
2017-10-18
DOI:
ISSN:
0001-8708
Pubs id:
pubs:511079
URN:
uri:384bbe64-1c91-4597-851f-233ef6216f05
UUID:
uuid:384bbe64-1c91-4597-851f-233ef6216f05
Local pid:
pubs:511079

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