Pure and Applied Mathematics Quarterly

Volume 16 (2020)

Number 1

Special Issue in Honor of Yuri Manin: Part 3 of 3

Guest Editors: Lizhen Ji, Kefeng Liu, Yuri Tschinkel, and Shing-Tung Yau

Holographic codes on Bruhat–Tits buildings and Drinfeld symmetric spaces

Pages: 1 – 33

DOI: https://dx.doi.org/10.4310/PAMQ.2020.v16.n1.a1


Matilde Marcolli (California Institute of Technology, Pasadena, Cal., U.S.A.; University of Toronto, Ontario, Canada; and Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Canada)


This paper is based on the author’s talk at the Arbeitstagung 2017. It discusses some general approaches to the construction of classical and quantum holographic codes on Bruhat–Tits trees and buildings and on Drinfeld symmetric spaces, in the context of the $p$-adic AdS/CFT correspondence.


arithmetical physics, AdS/CFT holography, $p$-adic, Bruhat–Tits buildings, Drinfeld symmetric spaces

Received 29 January 2018

Published 6 February 2020