The Arinkin–Gaitsgory temperedness conjecture

Author:

Færgeman Joakim1,Raskin Sam1

Affiliation:

1. Department of Mathematics The University of Texas at Austin Austin Texas USA

Abstract

AbstractArinkin and Gaitsgory defined a category of tempered ‐modules on that is conjecturally equivalent to the category of quasi‐coherent (not ind‐coherent!) sheaves on . However, their definition depends on the auxiliary data of a point of the curve; they conjectured that their definition is independent of this choice. Beraldo has outlined a proof of this conjecture that depends on some technology that is not currently available. Here we provide a short, unconditional proof of the Arinkin–Gaitsgory conjecture.

Funder

National Science Foundation

Publisher

Wiley

Subject

General Mathematics

Reference23 articles.

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5. Sheaves of categories with local actions of Hochschild cochains

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