From Grave' seminar to derived categories

Abstract

This article arose from my lecture at the First Grave Readings, in which I tried to trace the path that began with D. Grave's lectures and seminar at Kyiv University and led to research in the most modern branches of mathematics. Of course, I chose that one a branch of numerous directions developed by Grave's students and their scientific heirs, which is close to the Kyiv School of Theory of Representations and to my own research. The choice of material in the article is also completely subjective, and it does not pretend to be historical review. Rather, it is the memories of a participant in the events.