EVENT DETAILS AND ABSTRACT

Title: Quantum ergodicity for Eisenstein series at complex energies
Speaker: Semyon Dyatlov
Speaker Info: UC Berkeley
Brief Description:
Special Note: NOTE SPECIAL TIME AND ROOM
Abstract:

Quantum ergodicity concerns the structure of measures arising from high energy quantum objects. We consider the case of Eisenstein series for surfaces with cusps at complex energies located a fixed distance away from the real axis. For such objects, the limiting measures are rigid without any dependence on finer aspects of the flow in the compact part. In particular, resonant states at such energies also converge to a finite dimensional space of possible measures (and a fixed measure if there is only one cusp).