Mathematical Sciences Research Institute

Home » Geometric and arithmetic aspects of homogeneous dynamics


Geometric and Arithmetic Aspects of Homogeneous Dynamics January 19, 2015 to May 29, 2015
Organizers LEAD Dmitry Kleinbock (Brandeis University), Elon Lindenstrauss (Hebrew University), Hee Oh (Yale University), Jean-François Quint (Université de Bordeaux I), Alireza Salehi Golsefidy (University of California, San Diego)

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”.


Bibliography (PDF)

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
Logistics Program Logistics can be viewed by Members. If you are a program member then Login Here.
Programmatic Workshops
January 29, 2015 - January 30, 2015 Connections for Women: Geometric and Arithmetic Aspects of Homogeneous Dynamics
February 02, 2015 - February 06, 2015 Introductory Workshop: Geometric and Arithmetic Aspects of Homogeneous Dynamics
May 11, 2015 - May 15, 2015 Advances in Homogeneous Dynamics