Zelditch’s trace formula and effective Bowen’s theorem
Algebra and Number Theory Seminar
Zelditch’s trace formula and effective Bowen’s theorem
Series: Algebra and Number Theory Seminar
Location: ENR2-S395
Presenter: Junehyuk Jung, Brown University
In 1989, Zelditch considered the trace of an invariant operator composed with a pseudo-differential operator. The resulting trace formula turned out to be extremely useful in studying the distribution of closed geodesics on hyperbolic surfaces. I will demonstrate the simplest case of the proof, and discuss how things can be generalized to higher dimensional hyperbolic manifolds. This is a joint work with Insung Park.