COLLEGE OF ARTS AND SCIENCES Department of Mathematics and Statistics

Seminars

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Mathematics Analysis Seminar: "Quantum Unique Ergodicity"

2013-11-06

4:10pm Neill 5W

Dr. Sheng Chi Liu

Maass forms are Laplace eigenfunctions on the upper half plane. It is a basic question to understand the behavior of Maass forms when the Laplace eigenvalues become large. In this talk, I will introduce Rudnick and Sarnak’s "Quantum Unique Ergodicity Conjecture" which conjectured the equidistribution property of Maass forms. I will discuss the recent development and open questions related to this conjecture.