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Semi-classical analysis of Schr ̈odinger equation on H-type groups

Recent developments in microlocal analysis October 14, 2019 - October 18, 2019

October 18, 2019 (10:30 AM PDT - 11:30 AM PDT)
Speaker(s): Clotilde Fermanian Kammerer (Université Paris-Est Créteil Val-de-Marne)
Location: SLMath: Eisenbud Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
Abstract

We present in this talk recent results obtained in collaboration with V ́eronique Fischer (University of Bath, UK) aiming at studying the spectral properties of sub-Laplacian operators. We develop a semi-classical approach compatible with the Lie group structure and we discuss the associated notion of semi-classical measures, together with their dispersive properties when related with solutions of a Schr ̈odinger equation in H-type groups.
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