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Penn Mathematics Colloquium

Wednesday, October 22, 2003 - 4:30pm

Andras Vasy

MIT

Location

University of Pennsylvania

DRL A6

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'sfunction 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.