Organizers: Virginie Charette (University of Manitoba), Todd Drumm (Swarthmore College), William Goldman (University of Maryland).
We aim to gather many of the current researchers in Lorentz manifolds to discuss the new techniques being developed in the field. These researchers are separated by distance and approach to the study of Lorentz manifolds.
This is an exciting time in the study of Lorentz manifolds. Significant new work is being done in related areas such as flat manifolds and anti-de Sitter space. The workshop would give researchers the opportunity to share techniques and explore ways of incorporating new techniques from different areas into their own.
We also plan to discuss applications to physics, which playing an increasingly important role in raising new research questions in our field.
The workshop should foster new ideas for an old but vital area of mathematics. We plan on focusing on the following topics:
1- applications and generalizations of the Margulis invariant; 2- applications of fundamental polyhedra to the classification of flat Lorentz manifolds; 3- new techniques for anti-de Sitter space; 4- interpretations and extensions of Mess's work. 5- applications of new techniques in Lorentz manifolds to Relativity.