Schreiber Bulk-Edge Correspondence via Higher Gauge Theory

A talk that I will have given:

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• Urs Schreiber$\;\;$ (on work at CQTS with H. Sati):

  
  

  Bulk-Edge Correspondence via Higher Gauge Theory

  

  
  

  talk at:

  Higher Differential Geometry

  Alfried Krupp Wissenschaftskolleg, Greifswald, 4-6 May 2026

  
  

  Abstract. More profound than bulk topological order of quantum materials is only its unwinding via gapless excitations along boundaries of the sample. We recast this bulk-edge correspondence — for the experimentally relevant case of fractional quantum Hall systems — in terms of higher gauge theory for loop $\infty$-groups of spheres. Finally we geometrically engineer this phenomenon by complete topological quantization of M1@M5-brane probes of 11D supergravity globally completed by proper flux quantization in twisted equivariant differential (TED) Cohomotopy.

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Related talks:

• The $1 Million Puzzle: Hadrons and Quantum Computers — Why Modern Physics Needs a New Global Mathematics, public evening lecture at Alfried Krupp Wissenschaftskolleg, Greifswald, 4-6 May 2026

• Complete Topological Quantization of Higher Gauge Fields, lecture series at: Geometry, Higher Structures, and Physics, Bayes Centre, Edinburgh, 8-12 December 2025

• Rethinking FQH Anyons, talk at NYU-NYUAD Workshop on Quantum Matter and Quantum Computing @ Center for Quantum Information Physics, NYU New York, 19-20 May 2025

Related articles:

• Fractional Quantum Hall Anyons via the Algebraic Topology of exotic Flux Quanta

• Flux Quantization on M-Strings