Number Theory Seminar: Asif Zaman
- Date: 04/26/2012
- Time: 16:10
University of British Columbia
Escape of mass on Hilbert modular surfaces
Quantum Unique Ergodicity has been a widely studied conjecture of Rudnick and Sarnak (1994), concerning the distribution of large frequency eigenstates on a negatively curved manifold. Arithmetic Quantum Unique Ergodicity (AQUE) restricts the problem to arithmetic manifolds, such as SL(2,Z) \ H, the classical modular surface. Work of Lindenstrauss (2006) combined with the elimination of escape of mass proved by Soundararajan (2010) confirmed AQUE for the classical modular surface. This talk is concerned with AQUE for Hilbert modular surfaces, and in particular, my thesis work involving the elimination of escape of mass in this case.
Location: WMAX 216
For more information please visit UBC Math Department