21-23 October 2015
Institut de Mathématiques de Toulouse
Europe/Paris timezone
21-23 Octobre 2015, Institut de Mathématiques de Toulouse

Motivic realizations of categories

23 Oct 2015, 14:00
50m
Amphi Schwartz, bat. 1R3 (Institut de Mathématiques de Toulouse)

Amphi Schwartz, bat. 1R3

Institut de Mathématiques de Toulouse

118 Route de Narbonne 31068 Toulouse
Exposé de recherche sur invitation TopAlg

Speaker

Bertrand Toën (CNRS et Toulouse)

Description

This is a report on a work in progress with Robalo and Vezzosi. I will present the construction of a motivic realization of (dg-)categories over base of arbitrary characteristics, based on some previous work by A. Blanc. This will be used in order to define various realizations of categories, l-adic, de Rham, Betti etc, recovering the usual realizations when applied to the derived category of an algebraic variety. As a consequence I will present an extension of p-adic Hodge theory to the non-commutative setting, as well as a new relations between vanishing cycles and categories of matrix factorizations in positive and mixed characteristics.

Primary author

Bertrand Toën (CNRS et Toulouse)

Presentation Materials

There are no materials yet.