Changchang Xi (Capital Normal University, Beijing)

Dominant dimensions and tilting modules

Abstract:

We establish relationships between the dominant dimension of an algebra and the one of the endomorphim algebra of a tilting module over the given algebra. The motivation for this consideration is to understand the famous Nakayama conjecture, which says that algebras of infinity dominant dimension should be quasi-Frobenius algebras, in the context of derived categories. Most of the contents of the talk are taken from a joint paper with H. X. Chen (see arXiv: 1503.02385).