报告题目 Title: The stochastic six-vertex model through the lens of integrable systems

报告人 Speaker: Guilherme Silva

报告人所在单位 Affiliation: University of São Paulo

时间 Time: 2025-12-22 10:00-11:00

地点 Venue: Room 1601, Guanghua Eastern Main Tower (Handan Campus)

报告摘要 Abstract: The six-vertex model is one of the most ubiquitous lattice models in modern mathematical physics, serving as a cornerstone in the study of two-dimensional lattice systems and their phase transitions. Its stochastic version also provides a fundamental integrable representative of the KPZ universality class, linking lattice models to nonlinear stochastic growth phenomena. In this talk, we probe these KPZ universality aspects by studying moderate deviation regimes for its height function. The deviation estimates we will discuss are intimately connected with conditional thinning ensembles from random matrix theory, and nonlocal versions of the so-called Painlevé equations. The unraveling of such connections was a parallel task that we had to overcome, together with many other colleagues, and led to interesting phenomena that we hadn't anticipated with our original question.

个人简介 Bio: Guilherme Silva is currently Associate Professor at the Universidade de São Paulo (USP), Brazil. His research interests focus on asymptotic problems in special functions, point processes, and potential theory. More recently, he has developed a strong interest in nonequilibrium statistical mechanics, particularly in relation to the KPZ universality class.

海报 Poster: Guilherme Silva 学术报告.jpg