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WKB analysis and hypergeometric differential equation
Asymptotic Expansions w.r.t. a Parameter & Turning Point Problems
Asymptotic Expansions w.r.t. a Parameter & Turning Point Problems
Organizers
Speaker
Time
Sunday, November 16, 2025 2:00 PM - 4:00 PM
Venue
A3-3-301
Online
Zoom 442 374 5045
(BIMSA)
Abstract
In this talk, we will recall some classical theory on the asymptotic expansion with respect to a parameter. More explicitly, first, we will talk about a uniform asymptotic framework for parameter‑dependent linear ODEs. Then for the 2-by-2 case, we reduce the simple turning points to the Airy normal form and derive connection formulas with explicit error control.
Speaker Intro
Xinxing Tang, received a bachelor's degree in basic mathematics from the School of Mathematics, Sichuan University in 2013, and received a doctorate from Beijing International Center for Mathematical Research, Peking University in 2018. From 2018 to 2021, she worked as a postdoctoral fellow at the Yau Mathematical Sciences Center, Tsinghua University, and joined Beijing Institute of Mathematical Sciences and Applications in 2021 as assistant professor. Research interests include: integrable systems, especially infinite-dimensional integrable systems that appear in GW theory and LG theory, and are interested in understanding the algebraic structure of infinite symmetries and related calculations. Other interests include: mixed Hodge structures, isomonodromic deformation theory, KZ equations.