2006/02/28 by Roman Bezrukavnikov, Alexander Braverman · 1 citation
Mathematics · #math.AG #math.RT
published as Pure Appl. Math. Q. 3 (2007), no. 1, Special Issue: In honor of Robert D. MacPherson. Part 3, 153-179 · Dedicated to R.MacPherson on the occasion of his 60th birthday
arxiv created 2006/12/04 · arxiv updated 2011/11/24
Let X be a smooth projective curve over an algebraically closed field k of characteristic p>0. In this paper we explore the relation between algebraic D-modules on the moduli space Bunn of vector bundles of rank n on X and coherent sheaves on the moduli space Locn of vector bundles endowed with a connection (in the way predicted by Beilinson and Drinfeld for k of characteristic 0). The main technical tools used in the paper are the geometry of the Hitchin system and the Azumaya property of the algebra of differential operators in characteristic p.