Title: Toward a global view of dynamical systems for the C^1 topology
Speaker: Christian Bonatti
Speaker Info: University of Bourgogne
Brief Description:
Special Note:
Abstract:
* Recent results (from the last 15 years) lead to the feeling that one could devide the space of diffeomorphisms by using robust local phenomena (as the famous transverse homoclinic intersections descovered by Poincare and characterizing (that is a recent result) the chaotic dynamics) and global uniform and robust structures (as the hyperbolicity introduced by Anosov-Smale, partial hyperbolicity , filtrations, etc..) Structures avoid some local phenomenon: this devides the space of diffeomorphisms in disjoints open sets, whose union is (conjecturally) dense.Date: Sunday, May 1, 2011