報告人：葛宇新（法國圖盧茲第三大學）

報告題目：Asymptotically hyperbolic Einstein manifolds in dimension 4

報告摘要：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.

報告時間：2024年7月16日（星期二）16:00-18:00

報告地點：科技樓南樓706室

邀請人：王湘君

報告人簡介：葛宇新，法國圖盧茲第三大學教授，主要研究方向是幾何分析和偏微分方程理論，在Advance in math, JDG, JFA, J. Math. Pure. Appl. ,  Annales Scientifiques de l'ENS, Calc. Var. &PDE, Math. Z等國際知名學術期刊發表四十餘篇研究論文。