Deformations of Orthogonal Polynomials, Stochastic Growth Models, and Integrable Systems

Explore the intricate connections between deformations of orthogonal polynomials, stochastic growth models, and integrable systems in this 55-minute conference talk delivered at the Instituto de Matemática Pura e Aplicada. Delve into advanced mathematical concepts as the speaker presents research at the intersection of Fourier analysis and related mathematical areas. Examine how orthogonal polynomials can be deformed and their relationship to stochastic processes that model growth phenomena, while discovering the underlying integrable structures that govern these systems. Learn about the mathematical frameworks that connect these seemingly disparate areas and understand their applications in modern mathematical research. Gain insights into cutting-edge developments in mathematical analysis through this presentation that bridges classical orthogonal polynomial theory with contemporary stochastic modeling and integrable systems theory, presented as part of the "Fourier Analysis & Beyond" workshop series designed to showcase interdisciplinary mathematical research.