Tuesday, February 21, 7.527

Panagiotis Kostas (Thessaloniki)
Remarks on the global dimension of dg algebras.

Abstract:
We explore the global dimension of a triangulated category relative to a compact silting object. We explain how the finiteness of this dimension is independent of the choice of the silting object and intrinsic to the triangulated category. Applying this framework, the above reveals that the finiteness of the global dimension of a connective dg algebra is a property intrinsic to its derived category. We conclude by analyzing the behaviour of global dimension along certain dg algebra homomorphisms.