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Holomorphic quantum unique ergodicity and weak subconvexity for L-functions

报告题目:

Holomorphic quantum unique ergodicity and weak subconvexity for L-functions


报告人:

Nawapan (Ploy) Wattanawanichkul


工作单位:

University of Illinois Urbana-Champaign


摘要:

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.


地点:
Online


时间:

2024-06-12



版权所有 © 山东大学数学国家高层次人才培养中心鲁ICP备案 05001952号

Holomorphic quantum unique ergodicity and weak subconvexity for L-functions

报告题目:

Holomorphic quantum unique ergodicity and weak subconvexity for L-functions


报告人:

Nawapan (Ploy) Wattanawanichkul


工作单位:

University of Illinois Urbana-Champaign


摘要:

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.


地点:
Online


时间:

2024-06-12



版权所有 © 山东大学数学国家高层次人才培养中心鲁ICP备案 05001952号