报告题目：Quantitative Stability for Critical Elliptic Equations Beyond Euclidean Space

报告摘要：Motivated by quantitative stability results for critical elliptic equations in Euclidean space, this talk presents sharp stability estimates for the Yamabe problem on closed Riemannian manifolds and the Brezis–Nirenberg problem on bounded domains, highlighting how geometry, background solutions, and bubble interactions affect the optimal rates. It also discusses recent extensions of Yamabe stability theory to multi-bubble configurations and to cases where the Weyl tensor and several of its covariant derivatives vanish at the concentration point. The talk is based on joint work with Haixia Chen (CCNU) and Juncheng Wei (CUHK).

报告人简介：Seunghyeok Kim，韩国汉阳大学数学系教授。2026年9月起任现职。博士毕业于韩国浦项科技大学，导师为 Jaeyoung Byeon；此前于2007年获电气工程学士学位，并辅修数学双专业。主要研究方向为非线性椭圆与抛物型偏微分方程、共形几何、临界椭圆系统的解的存在性与渐近行为，以及变分方法和 Lyapunov–Schmidt 约化方法。代表性成果发表于JFA、JEMS、Adv. Math.、Int. Math. Res. Not. 及 CVPDE 等数学国际期刊，涉及临界 Lane–Emden 系统、多重爆破解、分数阶 Yamabe 问题，以及 Yamabe 流的长时间爆破行为和临界椭圆方程的定量稳定性。

报告时间：2026年10月28日 8:30-9:30  Talk

                 15:00-16:00 Faculty Research Discussion

报告地点：同析4号楼412会议室