Periods of eigenfunctions on arithmetic hyperbolic 3-manifolds

主讲人 Speaker:Jiaqi Hou (University of Wisconsin-Madison)
时间 Time:Saturday, 16:00-17:00, July 8, 2023
地点 Venue:Conference Room 1, Jinchunyuan West Building

Let X be a compact congruence arithmetic hyperbolic 3-manifold, and f a Hecke-Maass form on X with spectral parameter tending to infinity. In this talk, I will present a bound for the period of f along a hyperbolic surface in X, which improves the local bound. This result is based on the method of arithmetic amplification.