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Seminar by A Parthasarathy

Thursday, November 23, 2017 - 11:00 to 12:00
Seminar Room, School of Mathematical Sciences
Aprameyan Parthasarathy
Universität Paderborn
Boundary values, resonances and scattering poles on rank one symmetric spaces

In this talk, we will report on recent work (with J. Hilgert and S. Hansen, Paderborn) relating resonances and scattering poles on Riemannian symmetric spaces of rank one. We use boundary values in the sense of Kashiwara and Oshima to show that resonances and scattering poles coincide, along with their residues. Our methods also enable us to give a new and simple proof of the Helgason's conjecture in the rank one case. Time permitting, we'll mention progress made for symmetric spaces of higher rank. 

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