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Seminario MALGA Padova Verona - Moduli Algebre Anelli

Lunedì 22 Febbraio 2010 - S. Crivei, G. Cerulli Irelli

ARGOMENTI: Seminari

Lunedì 22 febbraio 2010 - Aula 2BC60 Torre Archimede

ore 15:30
Septimiu Crivei (Universita' Babes-Bolyai, CLUJ-NAPOCA)
"Finitely accessible categories and approximations"

-Abstract
We review the main properties of finitely accessible categories. We also discuss exactly definable categories and show their dual nature with respect to finitely accessible categories. Finally, we give some results on the existence of covers and envelopes in such contexts.

ore 16:45
Giovanni Cerulli Irelli (Universita' di Padova)
"Quiver Grassmannians and cluster algebras"

-Abstract
This is a joint work with Francesco Esposito. We study some projective
varieties which are closed subvarieties of partial flag varieties and called quiver Grassmannians. In the last years many authors have noticed the importance of quiver Grassmannians in the theory of cluster algebras but many geometric aspects, like the existence of a cellular decomposition, the computation of Betti numbers and Euler characteristic are still open. We make the first step in this direction by studying the "smallest" interesting quiver Grassmannians. Surprisingly this approach has an interesting counterpart in the theory of cluster algebras.

Rif. int. S. Bazzoni

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