Semi-classical analysis on H-type groups

Abstract: We present in this talk recent results obtained in collaboration with Véronique Fischer (University of Bath, UK) aiming at developing a semi-classical approach in sub-Laplacian geometry. In the context of H-type groups, we describe how to construct a semi-classical pseudodifferential calculus compatible with the Lie group structure and we discuss the associated notion of semi-classical measures, together with some of their properties. We will discuss an application to control developed with Cyril Letrouit (ENS Paris).

analysis of PDEsdifferential geometrygeneral mathematicsgroup theorymetric geometryoptimization and controlsymplectic geometryspectral theory

Audience: researchers in the topic

Comments: Physical session in Paris --> moved to virtual session due to new lockdown in France

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Sub-Riemannian Seminars

Series comments: The "Sub-Riemannian seminars" are the union of the "Séminaire de géométrie et analyse sous-riemannienne" (held in Paris since 2011) and the "International Sub-Riemannian Seminars", which were born in spring 2020 as a reaction to the COVID-19 pandemic.

The new format will gather every 3 weeks on average, alternating between these types of sessions:

- physical session in Paris (Laboratoire Jacques-Louis Lions), also transmitted online on Zoom.

- fully online session on Zoom.

- special session hosted physically somewhere else, and transmitted online.

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