#### ** Upcoming Talk**

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**September 18, 2019 (Wed.)**** 11:00-12:30**

Bingying Lu (Academia Sinica)

Venue: Room 638, Astro-Math. Building

Title:Riemann-Hilbert problem and Painlevé-I equation

**Abstract:**

**In this talk I will define what is a Riemann-Hilbert problem, give an elementary example. Then I will present the solution of the Riemann-Hilbert that gives rise to solution of Painlevé-I equation. Next I will show the Schlesinger transformation of this solution, which will lead to a different solution.
**

**In the end I will discuss how these two solutions are related to the universality phenomenon in nonlinear wave equations, and the Dubrovin universality conjecture.
**

**
This talk is intended for general mathematics audience. No specialized knowledge is assumed. I will walk you through concrete examples and elementary computations.
**