束红非 研究员系列学术报告
Title: ODE/IM correspondence, Exact WKB method and TBA equation
Speaker: Hongfei Shu(束红非)
Affiliation: Zhengzhou University (郑州大学）
Time: 10:00-11:30, Tuesday, 16th September , 2025
10:00-11:30, Wednesday, 17th September, 2025
10:00-11:30, Thursday, 18th September, 2025 (UTC+8, Beijing Time)
Venue: Room 1502, Shing-Tung Yau Center, Yifu Architecture Building, Sipailou Campus of Southeast University
（东南大学四牌楼校区逸夫建筑馆丘成桐中心1502室）
Inviter: Yunfeng Jiang（江云峰）
Abstract
The ODE/IM correspondence is a relationship between ordinary differential equations (ODEs) and two-dimensional quantum integrable models (IMs). It originated from spectral analysis of the Schrödinger equation, in which the functional relations of the integrable model are derived from solutions to the ODE. In recent years, this correspondence has played an important role in the development of resurgence theory, Seiberg–Witten theory, and the scattering amplitude/Wilson loop duality. In this lecture serie, we will review the fundamental concepts of the ODE/IM correspondence and its applications to quantum mechanics. Beginning with the ODE perspective, we will demonstrate how integrability enhances this analysis. The lectures are based on the review "The ODE/IM correspondence" (hep-th/0703066) and the monograph "ODE/IM Correspondence and Quantum Periods" (https://link.springer.com/book/10.1007/978-981-96-0499-9). The plan of the lectures is as follows:
1. ODE/IM correspondence for Schroedinger-type equation
2. Exact WKB method and TBA equations
3. Wall-crossing of TBA equations
About the Speaker
束红非，现任郑州大学研究员。2019年在日本东京工业大学取得博士学位，2019年-2021年，在北欧理论物理研究所(Nordita)从事博士后研究。2021年-2023年，在北京雁栖湖应用数学研究所(BIMSA)从事博士后工作。主要研究方向为非微扰量子场论，可积系统，复现（Resurgence）理论，AdS/CFT对应等。