Some counting problems admit extra symmetries, such as invariance under actions of a semisimple Lie group. These problems can sometimes be solved by techniques involving ergodic theory. We are working on examples from number theory, geometry and dynamics. The phenomenon of symmetry is central to certain counting problems. Typically these problems cannot be solved unless all of the hidden symmetry is exploited. The proposed methods consist of studying the interplay between the symmetric patterns and the chaotic phemomena of ergodic theory.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
9704845
Program Officer
Gerard A. Venema
Project Start
Project End
Budget Start
1997-07-01
Budget End
2000-06-30
Support Year
Fiscal Year
1997
Total Cost
$62,016
Indirect Cost
Name
University of Chicago
Department
Type
DUNS #
City
Chicago
State
IL
Country
United States
Zip Code
60637