Seminar zur Motiven WS 2025/26

Introduction to maximal Cohen-Macaulay modules, Matrix Factorizations and Singularity Categories

The motives seminar this term will be giving an introduction to matrix factorizations, maximal Cohen-Macaulay modules and singularity categories. We hope this will form a foundation for further work in developing versions of these theories that incorporate a duality in the underlying categories.

Preliminary program details

You can find a preliminary program as pdf here. We meet in WSC-N-U-4.04, 16-18 Uhr (c.t.). The meeting will also be accessible via Zoom (for the coordinates, please see the weekly seminar announcements).

Detailed Schedule

Lecture 1, (October 28, Marc Levine) Gorenstein rings, maximal Cohen-Macaualay modules, matrix factorisations and Eisenbud's periodicity theorem.

Lecture 2, (November 4, Marc Levine) Stable categories and equivalences between them

The further schedule is under construction: stay tuned!