ICMS Distinguished Lecture series in Representation Theory and Mathematical Physics Дата и място: May 19 and 21, 2026 (15:00–16:00 Sofia time) and June 1, 3 and 5, 2026 (16:00–17:00 Sofia time), Room 403, IMI - BAS Лектор: Ivan Dimitrov (Queen’s University, Canada) Тема: Root systems, generalizations and applications Root systems were introduced by Wilhelm Killing in 1889 as a tool for classifying Lie algebras. Since then, they have become ubiquitous, appearing in various contexts in seemingly unrelated areas of Mathematics. In this lecture series, Ivan Dimitrov introduces and studies root systems and defines a generalization of root systems. He explains how this more general structure applies to various problems, e.g. hyperplane arrangements. Finally, he introduces and studies inversion sets of roots. The exposition is [...]

ICMS Distinguished Lecture series in Representation Theory and Mathematical Physics Дата и място: May 18 to May 22, 2026 (16:00–17:00 Sofia time) , Room 403, IMI - BAS Лектор: Gordana Todorov (Northeastern University), Boston, USA Тема: Algebras and Categories The five lectures cover: (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. https://icms.bg/event/algebras-and-categories-gordana-todorov-lecture-series/