Topics in Commutative Algebra: Infinite Free Resolutions
This semester, we are going to study infinite free resolutions and related topics. Basically, we are going to follow L. Avramov's lecture notes, as well as classical papers.
Lecturer
Date
10th September ~ 24th December, 2024
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Tuesday,Wednesday | 09:50 - 11:25 | A3-2-201 | ZOOM 04 | 482 240 1589 | BIMSA |
Prerequisite
Basic knowledge on commutative rings, modules and finite free resolutions.
Syllabus
The topics in the following syllabus are tentative, and might change.
- Multiplicative structures on resolutions
- Change of rings
- Growth of resolutions
- Modules over Golod rings
- Tate resolutions
- Modules over complete intersections
- Koszul algebra
- Multiplicative structures on resolutions
- Change of rings
- Growth of resolutions
- Modules over Golod rings
- Tate resolutions
- Modules over complete intersections
- Koszul algebra
Audience
Graduate
Video Public
Yes
Notes Public
Yes
Language
English
Lecturer Intro
Beihui Yuan gained her Ph.D. degree from Cornell University in 2021. She has joined BIMSA in 2023. Her current research interests include application of commutative algebra in pure and applied mathematics problems.