Tuesday, November 10, 2020
Tiago Cruz, Relative dominant dimension.
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.