Speaker: Dr. Ricardo Espíndola Romero (Institute for Advanced Study, Tsinghua University)
Abstract: A central challenge in holography is understanding how spacetime emerges from the boundary
conformal field theory (CFT). Entanglement provides a geometric lens through kinematic
space—the space of CFT point pairs. By defining parallel transport of modular Hamiltonians, a
Berry connection emerges on kinematic space, enabling bulk reconstruction. In this talk, I will
introduce a new class of Berry phases governed by a change of state, the holographic counterpart of
geometric phases in quantum mechanics. Remarkably, the Berry curvature in this framework
exactly matches a bulk symplectic form on the entanglement wedge—the bulk region dual to a
boundary subregion, while its induced quantum information metric encodes the bulk canonical
energy. Time permitting, I will also discuss recent work on new topological kinematic spaces and a
two-sided Crofton formula that reconstructs wormhole geometries via integral geometry.
Time: April 25th 2025, 16:00h-17:00h.
Location: Room: 1310, SIMIS
Zoom Meeting ID: 423 317 8953 (Passcode: SIMIS)
Biography of the speaker: Dr. Ricardo Esp´ındola Romero obtained his PhD at the String Theory group of the University of
Amsterdam in 2022. He has carried out research at various institutions including the ICTP in
Trieste, KU Leuven, University of Southampton, UB Barcelona, and UNAM Mexico (where he was
awarded the Alfonso Caso medal). More recently, he joined the group at the Institute for Advanced
Study at Tsinghua University as a postdoctoral researcher where he holds a Shuimu Tsinghua
Scholarship, which is Tsinghua’s flagship program for attracting the best postdocs from the world.
His main research focus is the holographic correspondence. The methods and concepts he has used
during his research include modular Berry phases, wormhole replicas, von Neumann algebras, and
traversable wormholes.
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