ICMS-Sofia and IMSA-Miami

presents

Consortium Distinguished Lecture Series

May 18–22, 2026, 16:00, Sofia time

ICMS-Sofia, Room 403

Algebras and Categories: Auslander, Cluster, Pre-projective and Higher Versions of Those

Gordana Todorov

Gordana Todorov
Northeastern University, Boston, USA

Lecture outline:

1) Quiver representations, Gabriel, Dlab, Ringel — Dynkin diagrams, Auslander–Reiten theory.

2) Cluster algebras and cluster categories.

3) Higher Auslander algebras and cluster tilting subcategories.

4) Preprojective algebras and higher preprojective algebras.

5) Preprojective structure on subcategories.