Title: Holomorphic quantum unique ergodicity and weak subconvexity for L-functions

Speaker:Nawapan (Ploy) Wattanawanichkul

Affiliation:University of Illinois Urbana-Champaign

Venue: Online

Time:Jun. 12, 2024

Abstract:

Quantum unique ergodicity (QUE) describes the equidistribution of the L2-mass of eigenfunctions of the Laplacian as their eigenvalues approach infinity. My focus lies on a specific variant known as holomorphic QUE,  which concerns the distribution of the L2-mass of normalized Hecke eigenforms of even weight k (where k ≥ 2). In 2010, Soundararajan and Holowinsky proved the equidistribution of normalized Hecke eigenforms as k tends to infinity. In my talk, I will discuss their proof ideas, explore the connection with the subconvexity problem, and present my new results on the topic.