Speaker
Prof.
Bernard Helffer
(Universite Nantes)
Description
The conjecture of Helffer-Nourrigat, which was formulated in its local version (1979), has been solved recently (2022) by Iakovos Androulidakis, Omar Mohsen and Robert Yuncken. After some reminder on the history of the conjecture, I would like to discuss some remaining problems around the microlocal version and if time permits some applications obtained along the years to the spectral properties of Schr\"odinger operator with or without magnetic fields, Witten Laplacians, Fokker-Planck operators. This talk has benefitted in its preparation from discussions with J. Nourrigat.
