Séminaire Algèbre Géométrie Algébrique Topologie Algébrique :

Le 19 octobre 2006 à 11:15 - salle 431

Présentée par Zhang Pu - Shanghai Jiao Tong University

Serre dualities and Calabi-Yau Categories

In this talk I will explain how the representation theory relates the Serre duality and the Calabi-Yau categories; I’ll review some constructions of Serre dualities and Calabi-Yau categories, in particular, I’ll justify the singularity category (as a quotient triangular category of the bounded derived category, which is induced by the tilting modules) has a Serre duality. Also, we study the generalized Serre functor on a skeletally-small Hom-finite Krull-Schmidt triangulated category, and give the CY dimensions of the stable categories of the self-injective Nakayama algebras.