The purpose of this project is to coordinate the efforts of students working in the seminars organized by G. Vezzosi, at Paris 7 in Spring 2013.

Each chapter will be devoted to a theme, corresponding to a seminar. Below, there is the list of the corresponding seminars:

March 15 Mauro Porta (Orsay): Model categories and Bousfield localisation Brice Le Grignou (ENS): Dwyer-Kan localisation

March 22 Valerio Melani (ENS): Quasicategories Yan Zhao (Orsay): Segal categories and complete Segal spaces

March 29 Mauro Porta (Orsay): Simplicial presheaves Pietro Vertechi (ENS): Higher stacks

April 5 (no seminar)

April 12 Pieter Belmans (Polytéchnique): Differential graded categories

April 19 Mauro Porta (Orsay) and Yohann Segalat (Jussieu): Affine derived algebraic geometry

April 26 Mauro Porta (Orsay) and Yohann Segalat (Jussieu): Affine derived algebraic geometry

May 17 Pieter Belmans (Polytéchnique): The derived stack of perfect complexes Pietro Vertechi (ENS): The derived loop space and de Rham cohomology

May 31 Brice Le Grignou (ENS) and Mauro Porta (Orsay): Derived formal deformation theory (after Jacob Lurie)

June 7 Marco Robalo (Montpellier): Noncommutative motives and non-connective K-theory of dg-categories