Number Theory Seminar
- Event Type
- Seminar/Symposium
- Sponsor
- Department of Mathematics
- Location
- Altgeld Hall 347
- Date
- Mar 26, 2024 11:00 - 11:50 am
- Speaker
- Ploy Wattanawanichkul (UIUC)
- Contact
- Jesse Thorner and Yuan Liu
- jat9@illinois.edu and yyyliu@illinois.edu
- Views
- 35
- Originating Calendar
- Number Theory Seminar Calendar
Title: Holomorphic Quantum Unique Ergodicity and Weak Subconvexity for L-functions
Abstract: Quantum unique ergodicity (QUE) describes the equidistribution of the L^2-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 L^2-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.