Title: Eigenfunction Restriction Estimates on curves with nonvanishing geodesic curvatures

Abstract: There have been ways to study the eigenfunctions of the Laplace-Beltrami operator on compact Riemannian manifolds (without boundary), one of which is to consider the $L^p$ estimates of the eigenfunctions restricted to submanifolds in the given manifolds. Burq, Gérard, and Tzvetkov, and Hu studied many types of these restricted estimates, and one of them was the $L^2$ restriction estimates on curves with nonvanishing geodesic curvatures. In this talk, we would like to talk about their logarithmic improved analogues, in the presence of nonpositive sectional curvatures in the given compact Riemannian manifolds.

About the Speaker: Chamsol Park is a seventh year graduate student at UNM who is working under the direction of Professor Matt Blair. Chamsol graduated from the Korea National University of Education, and his major was Education of Mathematics. He received silver prizes twice in the Mathematic Competition for University in Korea.