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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: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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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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