报告人：葛宇新（法国图卢兹第三大学）

报告题目：Asymptotically hyperbolic Einstein manifolds in dimension 4

报告摘要：Given a closed Riemannian manifold of dimension 3 (M3 , [h]), when will we fill in an asymptotically hyperbolic Einstein manifold of dimension 4 (X4 , g+) such that r2g+|M = h on the boundary M = ∂X for some defining function r on X4 ? This problem is motivated by the correspondence AdS/CFT in quantum gravity proposed by Maldacena in 1998 et comes also from the study of the structure of asymptotically hyperbolic Einstein manifolds.In this talk, I discuss some existence and uniqueness issue of asymptotically hyperbolic Einstein manifolds in dimension 4. It is based on the recent works with Alice Chang.

报告时间：2024年7月16日（星期二）16:00-18:00

报告地点：科技楼南楼706室

邀请人：王湘君

报告人简介：葛宇新，法国图卢兹第三大学教授，主要研究方向是几何分析和偏微分方程理论，在Advance in math, JDG, JFA, J. Math. Pure. Appl. ,  Annales Scientifiques de l'ENS, Calc. Var. &PDE, Math. Z等国际知名学术期刊发表四十余篇研究论文。