2011-2012 Interactions Between Ergodic Theory, Number Theory and Noncommutative Geometry

 Organized by: Vitaly Bergelson, James Cogdell, Avner Friedman, Roman Holowinsky, Wenzhi Luo, Henri Moscovici and Nimish Shah

The Department of Mathematics at The Ohio State University, in conjunction with the Mathematics Research Institute, will be running a program during the 2011-2012 academic year entitled Interactions Between Ergodic Theory, Number Theory and Noncommutative Geometry.

Collaborative work among the fields of Ergodic Theory and Number Theory, with applications to quantum chaos in particular, has recently led to new and exciting results. At the same time, surprising links with Noncommutative Geometry have been established via an interesting connection between the operator algebra formalism of quantum statistical mechanics and arithmetic.

We hope to raise awareness and increase collaboration between researchers in all of these fields through a series of workshops to be held during the special program. Some financial support will be available for young researchers and graduate students thanks to funding from the Mathematics Research Institute, the National Science Foundation and The Ohio State University.

Workshops and Conferences

Dynamics on Homogeneous Spaces and Number Theory

September 12 - 16, 2011

Speakers:

Tim Austin, Don Blasius, S.G. Dani, Manfred Einsiedler, Alex Gamburd, Alex Gorodnik, Patrick Ingram, Dmitry Jakobson, Florent Jouve, Dubi Kelmer, Alex Kontorovich, Par Kurlberg, Philippe Michel, Amir Mohammadi, Shahar Mozes, Paul Nelson, Barak Weiss, Peng Zhao, Tamar Ziegler

Noncommutative Geometry:  Multiple  Connections

May 7 - 18, 2012

The first week of the workshop will emphasize the links between Noncommutative Geometry and Number Theory while the second week will emphasize the links between Noncommutative Geometry and Ergodic Theory. Please send any questions related to the conference to Roman Holowinsky via e-mail.