Semi-classical analysis on nilpotent graded Lie groups - 1

by Clotilde Fermanian Kammerer

Tuesday 2 Apr 2024, 14:00 → 15:00 Europe/Zurich

Sitzungszimmer (MI)

The semi-classical approach aims at analyzing high-frequency phenomena. Via the correspondence principle, it links the quantum world to the classical one, by drawing a connection between the properties of the solution of a PDEs in relation and dynamical features of the symbol of the operator involved in the PDE. For this reason, the semi-classical approach proved to be a powerful tool in different contexts, control theory and spectral geometry for example. We will explain how to define semi-classical tools adapted to the gradation of a nilpotent graded Lie groups: semi-classical pseudodifferential operators, semi-classical measures and wave-packets. We will also discuss applications to spectral geometry on nilmanifolds.

Part of the Spring School 
'Modern Aspects of Analysis on Lie Groups'
https://jaeh.cc/SS2024/index.htm