Resonances for Schr\”odinger operators on hyperbolic space

Time：Fri., 9:00-10:00 am, Nov.10, 2023

Venue：Zoom: 618-038-6257; PW: SCMS

Organizer：Chen Xi(Fudan), Long Jin(Tsinghua)

Speaker：David Borthwick Emory University

Abstract：

We discuss existence and inverse results for Schr\"odinger operators on the hyperbolic space $\mathbb{H}^{n+1}$, with smooth, compactly supported potentials. Such results have been known in the Euclidean setting for several decades, based on the wave/heat trace expansions as well as asymptotics of the scatteringphase. We will present a full picture of the corresponding theory in the hyperbolic setting and highlight some of the key differences from the Euclidean case. This talk represents joint work with Yiran Wang.

DATENovember 10, 2023

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