Holonomic D-modules and positive characteristic

Abstract

This article is based on the 5th Takagi Lectures delivered at the University of Tokyo in 2008. We discuss a hypothetical correspondence between holonomic D-modules on an algebraic variety X defined over a field of zero characteristic, and certain families of Lagrangian subvarieties in the cotangent bundle to X. The correspondence is based on the reduction to positive characteristic.

29 pages

References in corpus (1)

• Deformation quantization of algebraic varieties

Cited by in corpus (3)

• Cyclotomic analogues of finite multiple zeta values
• A finite analogue of the ring of algebraic numbers
• Independence of the B-KK Isomorphism of Infinite Prime