16-18 October 2013
Université d'Angers
Europe/Paris timezone

A bridge between commutative and noncommutative motives, and algebraic geometry

17 Oct 2013, 15:50
45m
Amphi L005 (bâtiment L) (Université d'Angers)

Amphi L005 (bâtiment L)

Université d'Angers

Université d'Angers, 2 Boulevard Lavoisier, 49045 Angers cedex 01
Exposé de recherche sur invitation Topologie algébrique et applications

Speaker

Marcello Bernardara (Institut de Mathématiques de Toulouse)

Description

In this talk, I will recall how one can build a bridge between noncommutative and commutative Chow motives. Crossing this bridge allows us to understand geometrical and birational properties of smooth projective varieties by considering their derived categories of coherent sheaves. In particular, one can reconstruct intermediate Jacobians and state categorical Torelli-type Theorems for some complex variety. This results are obtained in a joint work with G.Tabuada.
Mots Clés / Keywords semiorthogonal decompositions; intermediate Jacobians; exceptional objects; Chow motives; noncommutative motives

Primary author

Marcello Bernardara (Institut de Mathématiques de Toulouse)

Presentation Materials