Topics in algebraic geometry

Data inizio: 
Martedì, 7 Novembre 2017
Data fine: 
Giovedì, 31 Maggio 2018
Ore totali: 
40
Ore totali docenti responsabili: 
40
MODALITA' DELL'ESAME
Prova orale
PREREQUISITI E ANNI DI CORSO PER CUI E' CONSIGLIATO

For Ph.D. students. I require a good knowledge of algebraic intersection theory, as developed in Fulton's Intersection theory.

Programma

Review of intersection theory. The category of correspondences. Pure motives. Finite dimensionality of pure motives. The standard conjectures. Chow-Künneth decomposition. The Bloch-Beilinson filtration, and its consequences.

Riferimenti bibliografici

Jacob P. Murre, Jan Nagel, Chris A.M. Peters, Lectures on the theory of pure motive, University Lecture Series, 61, American Mathematical Society (2013).
Yves André , Une introduction aux motifs (motifs purs, motifs mixtes, périodes), Panoramas et Synthèses, 17, Paris: Société Mathématique de France (2004).