Program of 2026

Thirty-first School: Bayrischzell, Germany
31.8.-11.9.2026

funded by the Wilhelm and Else Heraeus Foundation

Lecture Program:

The instruction language is English.
Some lecture notes may appear later and will be made available here

Recommended Literature (to be provided):

• Argurio:
  
  Pedro R. S. Gomes : An Introduction to Higher-Form Symmetries https://arxiv.org/abs/2303.01817 
  T. Daniel Brennan, Sungwoo Hong: An Introduction to Higher-Form Symmetries https://arxiv.org/abs/2306.00912
  Nabil Iqbal: Jena lectures on generalized global symmetries: principles and applications arxiv.org/abs/2407.20815
  
  
• Brunner:
  
  https://saalburg.aei.mpg.de/wp-content/uploads/sites/25/2026/08/Brunner_TFT.pdf
  https://www.math.uni-hamburg.de/home/schweigert/ULECT-80-author-vers.pdf
  
  
• Burgess:
  
  Original papers:
  
  S. Weinberg, Phenomenological Lagrangians, Physica A96 (1979) 1-2, 327-340
  S. Coleman, J. Wess and B.Zumino, Structure of Phenomenological Lagrangians I, Phys. Rev. 177 (1969) 2239
  S. Coleman, C. Callan, J. Wess and B. Zumino, Structure of Phenomenological Lagrangians II, Phys. Rev. 177 (1969) 2247
  J. Donoghue, General Relativity as and Effective Field Theory: the Leading Quantum Corrections,
  Phys. Rev. D50 (1994) 3874 gr-qc/9405057 
  
  Reviews:
  
  C.Burgess: Introduction to Effective Field Theory (CUP) (The introductory first 6 chapters can be found here:
  https://physics.mcmaster.ca/~cburgess/Book/Ch1-6SnippetEFT.pdf)
  D. Kaplan: Five Lectures on Effective Field Theory,  nucl-th/0510023 
  C. Burgess: Quantum Gravity in Everyday Life, Living Reviews in Relativity 7 (2004) 5 
  gr-qc/0311082 
  
  
• Ferro:
  
  Original papers:
  N. Arkani-Hamed, J. Trnka; The Amplituhedron:https://arxiv.org/abs/1312.2007
  N. Arkani-Hamed, Y. Bai, T. Lam; Positive Geometries and Canonical Forms: https://arxiv.org/abs/1703.04541
  N. Arkani-Hamed, Y. Bai, S. He, G. Yan; Scattering Forms and the Positive Geometry of Kinematics, Color and the Worldsheet: https://arxiv.org/abs/1711.09102
  D. Damgaard, L. Ferro, T.Lukowski, M. Parisi; The Momentum Amplituhedron:https://arxiv.org/abs/1905.04216;
  L. Ferro, T. Lukowski; The Loop Momentum Amplituhedron
  
  Reviews:
  
  L. Ferro, T. Lukowski; Amplituhedra, and Beyond:https://arxiv.org/abs/2007.04342
  E. Herrmann, J. Trnka; The SAGEX Review on Scattering Amplitudes, Chapter 7: Positive Geometry of Scattering Amplitudes: https://arxiv.org/abs/2203.13018
  T. Lam, An invitation to positive geometries:https://arxiv.org/abs/2208.05407
  
  
• Kleinschmidt:
  
  N. Berkovits, E, D’Hoker, M. B. Green, H. Johansson, O. Schlotterer: Snowmass White Paper: String Perturbation Theory https://arxiv.org/abs/2203.09099
  Stefan Weinzierl: Feynman integrals https://arxiv.org/abs/2201.03593
  Jan Gerken, Modular Graph Forms and Scattering Amplitudes in String Theory
  https://arxiv.org/abs/2011.08647