|COMPUTER SCIENCE/DISCRETE MATH II|
|Topic:||Periodic Orbits and Extractors|
|Date:||Tuesday, April 4|
|Time/Room:||10:30am - 12:30pm/S-101|
We consider periodic orbits of multiparameter diagonalizable actions. A simple example of such an action is the action generated by the maps x -> 2x mod 1 and x -> 3x mod 1 on R/Z. There are strong parallels between the study of these orbits and extractors, as well as connections to the sum-product phenomenon. Much of my talk will be based on joint work with M. Einsiedler, P. Michel and A. Venkatesh.