Department of Mathematics - Master Calendar

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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
E-Mail
jat9@illinois.edu and yyyliu@illinois.edu
Views
20
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.

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