北京雁栖湖应用数学研究院

Piotr Chrusciel , Puskar Mondal , 赵博文

赵博文

2026年04月21日 16:30 至 17:30

A3-3-201

Zoom 712 322 9571 (BIMSA)

In this talk, I will present recent progress on the role of differential geometry and geometric analysis in understanding holographic entropies in AdS/CFT. I begin by showing that multipartite holographic scattering processes admit a geometric characterization in terms of the connectivity of entanglement wedges. I will then turn to the holographic entropy cone, which characterizes universal entropy inequalities satisfied by holographic states. I will discuss recent progress toward extending its graph-theoretic and geometric description to fully covariant settings, where extremal surfaces are not anchored on a common Cauchy slice. A key ingredient is a geometric “no-short-cut” conjecture. I will conclude by outlining ongoing work in this direction.

Taken together, these results suggest a unified geometric framework in which both scattering constraints and entropy inequalities arise from the causal and intersection structure of entanglement wedges.

This talk is based on arXiv:2509.23119, 2512.06815, and 2602.04888.

赵博文博士于2020年12月获得耶鲁大学博士学位，随后加入北京雁栖湖应用数学研究院（BIMSA）在丘成桐教授指导下从事博士后研究，并于2025年起任助理教授。她的研究方向聚焦于广义相对论与数学物理领域，致力于探索时空几何、引力理论及相关数学结构的深层联系。