Math Graduate Seminar

On Ratner's Closed Orbit Theorem

Lei Fu, Graduate Student, Mathematics, Caltech,

Ratner's theorems are powerful theorems in dynamical systems. They concern on Lie groups and the actions of their subgroups generated by unipotent elements. We will talk about the closed orbit theorem and represent its application to number theory, in particular, the Oppenheim Conjecture. If time permits, we will sketch the proof of the closed orbit theorem for SL(2,R) and its lattice SL(2,Z).

The goal of the math graduate seminar is to provide a place for graduate students to interact and to present new/interesting developments from our respective areas of research. The seminar is organized by graduate students, and is intended for a graduate student audience. The speaker must present interesting/important facts from any area of mathematics in a way that can be understood by students from different backgrounds.
FREE PIZZAS AND SODAS WILL BE SERVED!
If you would like to give a talk at the graduate seminar, please contact one of the organizers:
Gahye Jeong ([email protected])
Daodi Lu ([email protected])
Seunghee Ye ([email protected])

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