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Speaker:

Nawapan (Ploy) Wattanawanichkul (University of Illinois Urbana-Champaign)

Title:

Holomorphic quantum unique ergodicity and weak subconvexity for L-functions

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.


Time:

2024-06-12

Venue:

Voov meeting ID: 358 9878 8585

报告人 Nawapan (Ploy) Wattanawanichkul (University of Illinois Urbana-Champaign) 时间 2024-06-12
地点 Voov meeting ID: 358 9878 8585