Thematic program "L2-invariants and their analogues in positive characteristic"  

Instituto de Ciencias Matemáticas. Madrid, Spain   

February 19 - June 15, 2018   


Instituto de Ciencias Matemáticas
C/ Nicolás Cabrera, 13-15
  Campus Cantoblanco - UAM
  28049 Madrid, Spain
  Telephone: +34 91 2999700


The thematic program will be devoted to recent developments of the theory of L2-invariants and their analogues in positive characteristic.  

Historically, the theory of L2-invariants has its origen in a work of M. Atiyah, where he proposed an extension of the Atiyah-Singer index theory of elliptic differential operators on compact manifolds to the non-compact case. The modern definition of these invariants is more algebraic and uses the language of CW-complexes. The analogue of the first L2-Betti number in positive characteristic, the p-gradient, was introduced by M. Lackenby in his study of hyperbolic 3-manifold groups.  

The study of L2-invariants is linked to topology, geometry, global analysis, operator theory, ring theory, group theory and K-theory. This program aims to reunite leading specialists on these areas in an exciting research environment at the ICMAT. There will be a school and several advanced courses on recent develoments of the area. This program is a great opportunity to train young researchers on an area which has been successful in the study of important problems as the Baum-Connes conjecture or the Hanna Neumann conjecture, and it is important source of tools and ideas for attacking very interesting open problems.

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 Scientific committee:

Miklos Abert
(Alfred Renyi Institute of Mathematics)
Andrei Jaikin
Wolfgang Lück
(Hausdor Research Institute for Mathematics, Bonn University)
Mark Sapir
(Vanderbilt University)
Andreas Thom
(TU Dresden)

 Local committee:

Yago Antolin
Julio Aroca
Javier Aramayona
Andrei Jaikin
Diego López






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