Published February 6, 2020 | Version Submitted + Published
Journal Article Open

Holographic Codes on Bruhat-Tits buildings and Drinfeld Symmetric Spaces

  • 1. ROR icon California Institute of Technology
  • 2. ROR icon University of Toronto
  • 3. ROR icon Perimeter Institute

Abstract

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.

Additional Information

© 2020 by International Press of Boston, Inc. Received 29 January 2018; Published 6 February 2020. Dedicated to Yuri Manin on the occasion of his 80th birthday. The author thanks Matthew Heydeman, Sarthak Parikh, and Ingmar Saberi for many very useful discussions and an ongoing collaboration on several topics discussed in this paper, and especially Sarthak Parikh for suggesting several improvements to the paper. The author is partially supported by NSF grant DMS-1707882, by NSERC Discovery Grant RGPIN-2018-04937 and Accelerator Supplement Grant RGPAS-2018-522593, and by the Perimeter Institute for Theoretical Physics.

Attached Files

Published - PAMQ-2020-0016-0001-a001.pdf

Submitted - 1801.09623.pdf

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Additional details

Identifiers

Eprint ID
103269
Resolver ID
CaltechAUTHORS:20200518-094042414

Related works

Funding

NSF
DMS-1707882
Natural Sciences and Engineering Research Council of Canada (NSERC)
RGPIN-2018-04937
Natural Sciences and Engineering Research Council of Canada (NSERC)
RGPAS-2018-522593
Perimeter Institute for Theoretical Physics

Dates

Created
2020-05-18
Created from EPrint's datestamp field
Updated
2021-11-16
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
Mathematics Department