Palestras e Seminários
29/05/2025
15:00
sala 3-102
Palestrante: Guilherme Silva
Responsável: Victor Alves (
Seminários de Análise e Física-Matemática
Resumo: Connections between orthogonal polynomials and integrable systems are certainly not new. From recurrence relation's coefficients satisfying difference equations, to their continuous limits connecting to Painlevé-type equations, there is a vast literature exploring such connections. However, a new perspective has recently arisen: deformations of exponential weights of orthogonality give rise to connections of orthogonal polynomials with non-local versions of Painlevé equations, both discrete and continuous. As we plan to explain, such deformations are motivated naturally by probabilistic constructions, and the discussed findings are interpreted under the eyes of Riemann-Hilbert Problems.