EVENT DETAILS AND ABSTRACT

Title: Scattering theory on symmetric spaces and for N-body Hamiltonians
Speaker: Professor Andras Vasy
Speaker Info: MIT
Brief Description:
Special Note:
Abstract:

I will talk about the use of methods from N-body scattering in the study of the Laplacian on higher rank symmetric spaces of non-compact type. In particular, I focus on the relationship of three-body scattering and SL(3,R)/SO(3,R). I will describe the asymptotics of the Green's function at infinity (Taylor series at infinity), extending results of Anker, Guivarch, Ji and Taylor. I also describe the analytic continuation of the resolvent in the spectral parameter through the continuous spectrum via the method of complex scaling. The new results presented are joint work with Rafe Mazzeo.