Workshop on Arithmetic Groups and their Applications

in Combinatorics, Geometry and Topology

University of Virginia,  Charlottesville, VA, 

April 15-18, 2010

organized by Andrei Rapinchuk and Mikhail Ershov
sponsored by the UVa Department of Mathematics, Institute of Mathematical Science and the National Science Foundation

picture       Speakers:

         Lizhen Ji, University of Michigan
         Martin Kassabov, Cornell University
         Alex Lubotzky, Hebrew University
         Marcin Mazur, Binghamton University
         Ben McReynolds, University of Chicago
         Dave Morris, University of Lethbridge
         Gopal Prasad, University of Michigan
         Alireza Salehi Golsefidy, Princeton University
         Yehuda Shalom, UCLA
         Pavel Zalesskii, Universidade de Brasilia
         Andrzej Zuk, Université Paris 7

    
          Titles and abstracts        Slides of some talks               
         
Schedule of events          Photos
          Practical tips  
         

 Brief description: The workshop will survey some of the most significant results in the theory of arithmetic groups obtained in the last few years.
 Special attention will be devoted to the actions of arithmetic groups on homogeneous spaces, new applications of  the volume formula, and analysis
 of  weakly commensurable arithmetic groups that has led to new results on isospectral locally symmetric spaces.  The workshop will also feature talks
 on various applications of arithmetic groups in combinatorics, e.g., new constructions of expander graphs. Several important open problems in arithmetic
 groups and related areas will be discussed, such as virtual positivity of the first Betti number (particularly, for lattices in SL_2(C)) and bounded generation 
 of higher rank arithmetic groups. One of the main objectives of the workshop is to make the results and methods of the theory of arithmetic groups
 accessible to researchers, including postdocs and graduate students, working in a variety of areas.

 Participation: The workshop is open to everyone, and there is no registration fee. Some finanical aid may be available. If you are interested
 in participating, contact one of the organizers: