UNIVERSITY OF COLORADO COLORADO SPRINGS

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On Tilting and Cotilting Modules Over Artin Algebras

 Francesca Mantese

Dipartimento di Matematics Pura ed Applicata

Universita' degli Studi di Padova, Italy

In this talk we present some preliminary and basic aspects of the theory of tilting and cotilting modules over Artin algebras. In particular we focus on the connections between tilting theory and some classical homological conjectures for finite dimensional algebras, such as the Finitistic Dimension Conjecture and the Generalized Nakayama Conjecture.