%0 Journal Article
%T Mirabolic Langlands duality and the quantum Calogero-Moser system
%A Thomas Nevins
%J Mathematics
%D 2008
%I arXiv
%X We give a generic spectral decomposition of the derived category of twisted 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 quasi-coherent 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.
%U http://arxiv.org/abs/0804.4170v3