Periods of eigenfunctions on arithmetic hyperbolic 3-manifolds
报告人:Jiaqi Hou (University of Wisconsin-Madison)
时间:2023-07-06 10:00-11:00
地点:Room 1303, Science Building No. 1
Abstract: 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.