|
Lecture Notes |
Date |
Topic |
| #1 |
Monday,
Sept. 10
| Overview of D-modules, Part I | |
#2 |
Wednesday,
Sept. 12
| Overview of D-modules, Part II | |
#3 |
Monday,
Sept. 17
| Overview of D-modules, Part III | |
#4 |
Wednesday,
Sept. 19
| Introduction to the Weyl Algebra | |
#5 |
Monday,
Sept. 24
| Differential operators | |
#6 |
Wednesday,
Sept. 26
| Modules for the Weyl algebra | |
#7 |
Monday,
Oct. 1
| The Bernstein filtration | |
#8 |
Wednesday,
Oct. 3
| Noetherian modules | |
#9 |
Monday,
Oct. 8
| Dimension and multiplicity I | |
#10 |
Wednesday,
Oct. 10
| Dimension and multiplicity II | |
#11/12 |
Mon.-Wed.,
Oct. 15/17
| Holonomic modules I and II | |
#13 |
Monday,
Oct. 22
| Tensor and exterior products | |
#14 |
Wednesday,
Oct. 24
| Characteristic varieties | |
#15 |
Monday,
Oct. 29
| Almost commutative algebras | |
#16 |
Wednesday,
Oct. 31
| Bernstein's thm on analytic continuation | |
#17 |
Monday,
Nov. 5
| Gabber's thm on stability under Poisson bracket I | |
#18 |
Wednesday,
Nov. 7
| Gabber's thm on stability under Poisson bracket II | |
#19/20 |
Monday,
Nov. 12
| Gabber's thm on stability under Poisson bracket III/IV | |
#21/22 |
M-W,
Dec. 5, 7
| Kashiwara's theorem on D-modules under embeddings I, II | |
#23 |
Mon
Dec. 10
| Asymptotic stability of autonomous systems | |