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Exact WKB Analysis and Resurgence
The formal solution of differential equation with irregular singularities (general case)
The formal solution of differential equation with irregular singularities (general case)
Organizers
Speaker
Time
Thursday, March 27, 2025 2:00 PM - 3:30 PM
Venue
A3-2a-302
Online
Zoom 482 240 1589
(BIMSA)
Abstract
In the resurgence theory, one often needs to deal with the n-th order differential equation with irregular singularities and its formal solution. In this talk, I will explain how to get the formal solution for the first order differential equation (matrix version) with irregular singularities in the general case (non-resonance case).
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.