Tuesday, March 05, 14:00

Chrysostomos Psaroudakis (Thessaloniki), Cleft Extensions of Triangulated Categories.

Abstract:
In this talk we introduce cleft extensions of triangulated categories. This new concept provides a systematic framework for studying the derived categories of cleft extensions of rings. Moreover, every recollement of triangulated categories gives rise to a cleft extension. After discussing properties and examples of cleft extensions of triangulated categories, we introduce θ-extensions of dg categories and explain how Hochschild cohomology and singularity categories behave under this construction. This is joint work with Georgios Dalezios and Panagiotis Kostas.