CRM Research Programme for the academic year 2007-2008

Homotopy Theory and Higher Categories

An i-MATH Intensive Research Programme


Co-ordinators

Carles Casacuberta, Universitat de Barcelona

Joachim Kock, Universitat Autònoma de Barcelona

Scientific Organisers

Carles Casacuberta, Universitat de Barcelona

André Joyal, Université du Québec à Montréal

Joachim Kock, Universitat Autònoma de Barcelona

Amnon Neeman, Australian National University, Canberra

Frank Neumann, University of Leicester

Research Topics

Homotopical structures lie at the heart of important developments in algebra, geometry, topology, and mathematical physics. This research programme is devoted to categorical expressions of such structures, and in particular to the interplay between derived categories, Quillen model categories, and higher categories, with emphasis on applications. Leading experts in the fields of homotopy theory and higher category theory will be gathered together to explore the latest developments in these topics and stimulate further advances.

 

Key words: derived categories; triangulated categories; higher categories; quasi-categories; operads; differentiable and topological stacks; higher stacks; moduli problems; derived moduli; higher structures in model categories; simplicial localisation; brave new algebra; modular representation theory.

Visiting Researchers and Participants

For a list of visitors click here

For a list of all participants click here

Activities

Advanced Course on Simplicial Methods in Higher Categories. February 4 to 14, 2008

    Preparatory Lectures. January 28 to February 1, 2008

HOCAT 2008. Homotopy Structures in Geometry and Algebra; Derived Categories, Higher Categories. June 30 to July 5, 2008

Specialised workshops:

    Derived Categories. November 5 to 14, 2007

    Workshop on Categorical and Homotopical Structures in Proof Theory. February 16 to 17, 2008

    Algebra and Geometry of Groups and Classifying Spaces. February 18 to 22, 2008

    Topological and Differentiable Stacks. April 1 to 5, 2008

    Higher Operads Week. April 14 to 19, 2008

    Categorical Groups. June 16 to 20, 2008
 

Weekly seminars, throughout the academic year:

    Passe-partout Seminar: Every Wednesday from 10:00 to 11:00 (Auditorium of the CRM).

    Working Seminars: See the CRM Weekly Schedule.
 

For further information, please contact the CRM Secretariat  

 

Last updated: 16/12/2009