Mathematics and Applications Seminar
11:00am - 12:00pm, Friday, April 28, 2023
MSB 318
Speaker:
Dr. Fudong Wang
Department of Mathematics
University of Central Florida
Title: A powerful asymptotic method based on the Riemann-Hilbert Problems
Abstract: A Riemann-Hilbert problem is, in simple terms, the task of finding a sectional analytic function within a region of the complex plane with specified jumps across a given curve. This problem has been a fundamental topic of research in mathematics since the early 20th century. In this talk, I will discuss an asymptotic method based on the Riemann-Hilbert problems, which were introduced by Deift-Zhou during the 1990s. We will also mention some of the applications in nonlinear integrable systems and orthogonal polynomials. If time permits, I will also introduce a generalized version of the method based on the Dbar operator.
The talk is designed to be accessible to a broad audience. However, some familiarity with Cauchy integrals would be definitely helpful.
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The UCF Mathematics and Applications Seminar, which takes place every Friday from 11am to 12pm in MSB 318, provides a venue for researchers to present their current work, foster new collaborations, and showcase both foundational mathematics and its applications to graduate and undergraduate students. Additional information can be found on the seminar's website:
https://sciences.ucf.edu/math/ucf_section/mathematics-and-applications-seminar/