Mirabolic Langlands duality and the quantum Calogero–Moser system |
| |
Authors: | Thomas Nevins |
| |
Institution: | 1. Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA
|
| |
Abstract: | We give a generic spectral decomposition of the derived category of twisted D\mathcal{D} -modules on a moduli stack of mirabolic vector bundles on a curve X in characteristic p: that is, we construct an equivalence with the derived category of quasicoherent sheaves on a moduli stack of mirabolic local
systems on X. This equivalence may be understood as a tamely ramified form of the geometric Langlands equivalence. When X has genus 1, this equivalence generically solves (in the sense of noncommutative geometry) the quantum Calogero–Moser system. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|