Graduate Number Theory Seminar
Holly Krieger
UIC
Ratner's Theorems and the Oppenheim Conjecture
Abstract: I will define the necessary ingredients to understand Ratner's theorems, presented in sufficient generality to deduce the Oppenheim Conjecture. Some generalizations and the quantitative version of the Oppenheim conjecture will be explored. No background in ergodic theory or quadratic forms will be assumed, though some basic algebraic number theory and theory of algebraic groups will be helpful for the latter part of the talk.
Wednesday October 13, 2010 at 3:00 PM in SEO 427