中央研究院數學研究所

Special Colloquium

Large deviations in KPZ models

2025/12/26 (Fri.) 15:30~16:30

Date : 2025/12/26 (Fri.) 15:30~16:30
Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
Speaker : Sayan Das (University of Chicago)
Abstract : KPZ models are a large class of models with inherent asymmetry that (conjecturally) share the same scaling exponents and limiting fluctuations. Because of this asymmetric structure, the atypical behavior of observables of interest is also asymmetric: it is easier for the observable to take unusually large values than unusually small ones. More concretely, the upper-tail and lower-tail probabilities of such observables exhibit fundamentally different behaviors. These types of tail-probability questions fall under the study of large deviations. In this talk, I will survey some of the large-deviation results for KPZ models, discuss the kinds of tools that go into their proofs, and explain, at a functional level, what truly drives these rare events.
This talk is based on several seminal works by experts in the field, as well as on a number of my own joint works with Li-Cheng Tsai, Weitao Zhu, Matteo Mucciconi, Yuchen Liao, Duncan Dauvergne, and Bálint Virág.