Geometric Structures in Holographic Entropy

BIMSA General Relativity Seminar

Speaker：

Bowen Zhao, BIMSA

Time：

Tues., 16:30-17:30

April 21, 2026

Venue：

A3-3-201, BIMSA

Title：

Geometric Structures in Holographic Entropy

Abstract:

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.