Mathematics Graduate Students Organization

Seminar:

Date: April 10

I will give a survey on the quantum unique ergodicity (QUE) conjecture and its connections to arithmetic, especially properties of the Riemann zeta function. Informally speaking, QUE states that eigenfunction of the Laplacian behave "randomly", in the presence of negative curvature. In certain special arithmetical settings, these eigenfunctions themselves are related to number theoretic functions, especially the Riemann zeta function. I will also show many beautiful pictures of these eigenfunctions.