Tiago Cruz, Relative dominant dimension.

Abstract:

In this talk, we will introduce a generalisation of dominant dimension to finitely generated projective algebras over Noetherian commutative rings including some of its properties. This notion requires the use of relative homological algebra introduced by Hochschild in the 50's. We will explore a generalisation of the Morita-Tachikawa correspondence and some of its restrictions to some class of algebras over Noetherian rings. If time permits, we will determine the relative dominant dimension of integral Schur algebras and integral Auslander algebras.