Geometric and Arithmetic Aspects of Homogeneous Dynamics
Jan 19, 2015
to May 29, 2015
Dmitry Kleinbock* (Brandeis University), Elon Lindenstrauss (Hebrew University of Jerusalem), Hee Oh (Brown University), Jean-Francois Quint (Université Paris 13), Alireza Salehi Golsefidy (University of California, San Diego)
Tags:
Scientific
Homogeneous dynamics is the study of asymptotic properties of the action of subgroups of Lie groups on their homogeneous spaces. This includes many classical examples of dynamical systems, such as linear Anosov diffeomorphisms of tori and geodesic flows on negatively curved manifolds. This topic is related to many branches of mathematics, in particular, number theory and geometry. Some directions to be explored in this program include: measure rigidity of multidimensional diagonal groups; effectivization, sparse equidistribution and sieving; random walks, stationary measures and stiff actions; ergodic theory of thin groups; measure classification in positive characteristic. It is a companion program to “Dynamics on moduli spaces of geometric structures”. Workshop(s): |
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