Homological invariants of category O

Abstract: This will be a survey talk about homological properties of the Bernstein-Gelfand-Gelfand category O associated with a triangular decomposition of a semi-simple complex finite dimensional Lie algebra. Blocks of O are module categories over finite dimensional associative algebras having many nice properties and symmetries, inclduing quasi-heredity, Ringel self-duality, Koszul self-duality, Auslander regularity etc. I will try to present a number of results describing homological properties and invariants for these blocks and describe both methods and tools which are used to establish these results.

representation theory

Audience: researchers in the topic

RA Seminar

Series comments: The event format will include an online 50-minute lecture that will be held on the second Wednesday of every month. For the Zoom links and passwords, please subscribe to the mailing list (link and password will be emailed shortly before each talk).