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.
Lecturer
Date
20th September ~ 20th December, 2024
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Monday,Friday | 15:20 - 16:55 | A3-1-301 | ZOOM 14 | 712 322 9571 | BIMSA |
Syllabus
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.
Audience
Graduate
Video Public
Yes
Notes Public
Yes
Language
English
Lecturer Intro
I have MSc degree in Applied Math / Computer Science from St. Petersburg IFMO and PhD in pure mathematics from Yale University. From 2014 to 2022 I held postdoctoral and visiting researcher positions in Japan, UK, Germany and France. I've joined BIMSA in 2023.
My current research interests include geometric representation theory, super groups and non-commutative algebraic geometry.