报告题目:Bubbling and Energy Identities for the Sphere-Valued Half-Harmonic Map Flow.
报告人:程泽涛 (博士后)
报告时间:2026年9月28日 15:00-16:00
报告地点:数学楼301
报告摘要:We study bubbling for the sphere-valued half-harmonic map flow constructed by Struwe. We establish energy identities at finite singular times and at infinity, with attachment within rescaled bubble trees at finite times and uniform reconstruction along suitable sequences at infinity. The proof combines harmonic extension, reflection with a boundary line source, and rotational identities. We also obtain partial compactness for general targets with bounded \(L^2\) tension.
报告人简介:Zetao Cheng received his bachelor’s degree from Qufu Normal University and his Ph.D. from Tsinghua University. He subsequently held postdoctoral positions at the Okinawa Institute of Science and Technology (OIST), Japan, and Hanyang University, South Korea. His research focuses on nonlinear analysis. He has published several papers in journals including *Proceedings of the London Mathematical Society* and *Calculus of Variations and Partial Differential Equations*.