The algebraic theory of D-modules I -Autumn semester 2020, WIS

D-modules I

 

 
The course will usually take place on Tuesdays 10:15-13:00 in this Zoom room

Prerequisites: Basic algebraic geometry, basic knowledge of the notion of generalized functions (or distirbutions).

Syllabus

Lecture Notes

Notes for the first exercise session: introduction to generalized functions

Notes for the 12-th exercise session: resolutions of sheaves

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Exercise 10

Exercise 11

Literature:

1. "A Primer on Algebraic D-modules" by S.C.Coutinho

2 . "Algebraic D-modules" by A.Borel et al.

3. Lecture notes in algebraic D-modules, taught by J. Bernstein

4. "D-Modules, Perverse Sheaves, and Representation Theory" by Hotta, Takeuchi, Tanisaki

 

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