NCTS(South) Seminar
DATE	2013-11-25　14:00-15:00
PLACE	R204, 2F, NCTS, NCKU
SPEAKER	Prof. Setsuro Fujiie （Department of Mathematical Sciences, Ritsumeikan University, Japan）
TITLE	Resonances and Homoclinic Curves
ABSTRACT	In this talk, I will talk about semiclassical resonances for the Schrödinger operator on the multidimensional Euclidean space, where the trapped set of the underlying classical system consists of a hyperbolic fixed point and associated homoclinic trajectories. Thanks to a new approach for this kind of problem, well-suited for the geometry we consider, we obtain a quantization condition for resonances, and describe precisely their location. Our proof also provides polynomial semiclassical resolvent estimates.