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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: bb (the inverse of the friction parameter) and hh (the temperature). I will discuss the high-friction limit (b0b \to 0) and the low-temperature limit (h0h \to 0) for the hypoelliptic Laplacian. In this limit, the hypoelliptic Laplacian converges to the Witten Laplacian, with a comparison of their spectra.