Generalised BGP reflection functors via the Grothendieck construction

Abstract:

In this talk I will present a new approach to generalised BGP reflection functors which benefits of the additional flexibility provided by the language of stable infinity-categories. To this end, I will explain how the aforementioned language sheds new light on the classical concept of recollement and how to utilise the powerful methods afforded by the theory infinity-categories in our context to extend earlier results of Ladkani and Groth and Stovicek.

This is a report on joint work with Tobias Dyckerhoff and Tashi Walde.