Videos

D-modules for Macaulay 2

Presenter
October 26, 2006
Keywords:
  • D-modules
MSC:
  • 14F10
Abstract
The package D-modules for Macaulay 2 implements the majority of the now classical algorithms in the computational D-module theory. Based on the ability of Macaulay 2 engine to compute Gröbner bases in the Weyl algebra, the package provides, in particular, tools to work with holonomic D-modules such as the algorithms for b-functions, localized modules, restriction, etc. Amongst the applications there are computation of the local cohomology modules, polynomial and rational solutions, and A-hypergeometric systems. (Joint work with Harry Tsai)