Schreiber Lausanne 2026

A talk that I have given:

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

  
  

  TQFTs of Higher SuGra Gauge Sectors, or:

  How M-Brane Charge may be quantized in tmf

  talk slides: pdf

  video recording: yt (draft)

  
  

  talk at:

  
  

• Elliptic objects, von Neumann algebras, and Functorial Field Theory (details),

  Bernoulli Center

  Lausanne, 13–17 July 2026

Abstract. We ask for the functorial TQFTs of topological quantum states in the higher gauge sectors of 11D SuGra and its dimensional reductions. To specify these, one has to choose a global (IR) completion of the theory by higher electromagnetic flux quantization in differential nonabelian cohomology. After topological light cone quantization one finds that topological quantum states form $\infty$-local systems on transversal maps to a classifying space whose rationalization encodes the duality-symmetric Bianchi identities.

Based on:

• The Character Map in Non-Abelian Cohomology

Lecture notes:

• Complete Topological Quantization of Higher Gauge Fields

  SciPost Physics Lecture Notes 127 (2026)

  doi:10.21468/SciPostPhysLectNotes.127

• Higher Gauge Theory via Differential Nonabelian Cohomology

• Higher Superspace Supergravity and its IR Completions