Effective Equidistribution on Hilbert Modular Surfaces

Abstract: While ineffective equidistribution has been understood much more generally, effective results for non-compact orbits have been more scarce. I will give effective (polynomial) error rates for the translates of diagonal orbits on Hilbert modular surfaces. This work follows as a higher dimensional extension of the work of Kelmer and Kontorovich.

dynamical systemsnumber theory

Audience: general audience

New England Dynamics and Number Theory Seminar