seminario di Algebra: The Homology of Graded (Co)rings (Stefan)
Dettagli dell'evento
Quando
dalle 16:00 alle 17:30
Dove
Persona di riferimento
Il Prof. Dragos STEFAN dell'Università di Bucarest (Romania) sarà ospite del nostro Dipartimento dal 17 Novembre al 23 Novembre 2014. In tale periodo il Prof. Stefan terrà un ciclo di seminari su "On the (co)homology of graded (co)rings".
Il primo seminario avrà luogo Martedì 18 novembre alle ore 16 in aula 1. Seguono titolo e Abstract.
1. The Homology of Graded (Co)rings
We shall review the basic properties of Ext and Tor functors of a graded R-ring, where R denotes a semisimple ring. A key tool in our investigation will be played by the bar resolution of R. The dual case, corresponding to a graded $R$-coring, will also be discussed.
2. Koszul (co)rings.
Koszul rings were introduced by Beilinson, Ginzburg and Soergel, as natural generalization of Koszul algebras, which play a fundamental role in Representation Theory. Our aim is to present the most important properties of this class of rings, using a new method which based on the so called Koszul pairs. By duality, Koszul corings are introduced and investigated. Several examples and applications will be presented.
