Miscellaneous topics about Derived Categories
We will discuss several disparate topics involving derived categories of modules or
coherent sheaves, which are in some way related to the notion of singularity in algebraic geometry.
The topics include: reconstruction of the scheme from the category of sheaves (Balmer spectrum
and triangulated spectrum), notions of singularity and cluster categories, as well as resolution
and absorption of singularities from categorical point of view.
coherent sheaves, which are in some way related to the notion of singularity in algebraic geometry.
The topics include: reconstruction of the scheme from the category of sheaves (Balmer spectrum
and triangulated spectrum), notions of singularity and cluster categories, as well as resolution
and absorption of singularities from categorical point of view.
讲师
日期
2024年09月20日 至 12月20日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周一,周五 | 15:20 - 16:55 | A3-1-301 | ZOOM 14 | 712 322 9571 | BIMSA |
课程大纲
1. Balmer Spectrum.
2. Triangulated Spectrum.
3. Singularity category.
4. Cluster category.
5. Categorical absorption of singularities.
2. Triangulated Spectrum.
3. Singularity category.
4. Cluster category.
5. Categorical absorption of singularities.
听众
Graduate
视频公开
公开
笔记公开
公开
语言
英文
讲师介绍
Slava Pimenov于圣彼得堡IFMO取得应用数学/计算机科学硕士学位，在耶鲁大学取得纯数博士学位。2014年至2022年，他在日本、英国、德国和法国担任博士后和访问研究员，2023年加入BIMSA任助理研究员。他目前的研究兴趣包括几何表示理论、超群和非交换代数几何。