Quantum parameters of the geometric Langlands theory-Reference-Cited by-同舟云学术

Quantum parameters of the geometric Langlands theory

Published:2023-08-22 Issue:4 Volume:29 Page:
ISSN:1022-1824
Container-title:Selecta Mathematica
language:en
Short-container-title:Sel. Math. New Ser.

Author:

Zhao Yifei

Abstract

AbstractFix a smooth, complete algebraic curve X over an algebraically closed field k of characteristic zero. To a reductive group G over k, we associate an algebraic stack

$${\text {Par}}_G$$

Par G of quantum parameters for the geometric Langlands theory. Then we construct a family of (quasi-)twistings parametrized by

$${\text {Par}}_G$$

Par G , whose module categories give rise to twisted

$${\mathcal {D}}$$

D -modules on

$${\text {Bun}}_G$$

Bun G as well as quasi-coherent sheaves on the DG stack

$${\text {LocSys}}_G$$

LocSys G .

Funder

Westfälische Wilhelms-Universität Münster

Publisher

Springer Science and Business Media LLC

Subject

General Physics and Astronomy,General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00029-023-00868-5.pdf

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