Séminaire de EDP - Physique Mathématique
Convergence of the Bismut hypoelliptic Laplacian to the Witten Laplacian
Xingfeng Sang
( )Salle de Conférences
le 21 janvier 2025 à 11:00
The Bismut hypoelliptic Laplacian, a geometric version of the Kramers-Fokker-Planck operator, is a two-parameter-dependent operator: (the inverse of the friction parameter) and (the temperature). I will discuss the high-friction limit () and the low-temperature limit () for the hypoelliptic Laplacian. In this limit, the hypoelliptic Laplacian converges to the Witten Laplacian, with a comparison of their spectra.