The Bismut hypoelliptic Laplacian, a geometric version of the Kramers-Fokker-Planck operator, is a two-parameter-dependent operator: $b$ (the inverse of the friction parameter) and $h$ (the temperature). I will discuss the high-friction limit ($b \to 0$) and the low-temperature limit ($h \to 0$) for the hypoelliptic Laplacian. In this limit, the hypoelliptic Laplacian converges to the Witten Laplacian, with a comparison of their spectra.