Singular stochastic nonlinear wave equations and the hyperbolic O(N) linear sigma modelCRC 1720: Early Career Seminar

by Shao Liu

Tuesday Jan 13, 2026, 2:15 PM → 3:15 PM Europe/Berlin

Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)

In this talk, I will first present recent development in the well-posedness theory for singular stochastic nonlinear wave equations (SNLW) forced by space-time white noise on the two-dimensional torus. These results build on the work by Gubinelli-Koch-Oh (2018) and GKO-Tolomeo (2022). One of the main difficulties of this problem comes from the roughness of the white noise.
    I will then briefly discuss the hyperbolic O(N) linear sigma model on the two-dimensional torus, namely, a coupled system of N interacting SNLW with cubic nonlinearities. By adapting the methods developed for SNLW, we establish well-posedness of the hyperbolic O(N) linear sigma model.
Furthermore, we prove that this model converges to the mean-field SNLW as N tends to infinity. This part of the talk is based on a joint work with Ruoyuan Liu (University of Bonn) and Tadahiro Oh (University of Edinburgh).