Speaker: **Vitalii Konarovskyi** (University of Hamburg, Institute of Mathematics of NAS of Ukraine)

Topic: **A quantitative central limit theorem for the simple symmetric exclusion process**

Abstract. *We will discuss a quantitative central limit theorem for the simple symmetric exclusion process on a multidimensional discrete torus. Our argument is based on a comparison of the generators of the density fluctuation field of the symmetric exclusion process and the generalized Ornstein-Uhlenbeck process, as well as on an infinite-dimensional Berry-Essen bound for the initial particle fluctuations. The obtained rate of convergence is optimal. It is a joint work with Benjamin Gess.*