13th edition of the Combinatorics and Arithmetic for Physics days

From November 19 to 21, 2025, IHES will host the CAP Days, “Combinatorics and Arithmetic for Physics“, organized by Gérard H. E. DUCHAMP (LIPN, Université Paris-Nord), Maxim KONTSEVICH (IHES), Gleb KOSHEVOY (ITTP, Moscow & IHES) and Karol A. PENSON (LPTMC, Sorbonne University).

The meeting focuses on questions of discrete mathematics and number theory, emphasizing computability. Problems are drawn mainly from theoretical physics: renormalization, combinatorial physics, geometry, evolution equations (commutative and noncommutative), or related to its models, but not only. 
Computations, based on combinatorial structures (graphs, trees, words, automata, semirings, bases), or classical structures (operators, Hopf algebras, evolution equations, special functions, categories) are good candidates for computer-based implementation and experimentation.

Participation is free, but registration by November 19 2026, is required. The talks will be recorded and made available on the IHES YouTube channel after the event.

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List of speakers:

• Ariana Chin (UCLA)
• Lucia Di Vizio (Université de Versailles-St Quentin)
• Florian Fürnsinn (Universität Wien)
• Stéphane Gaubert (INRIA)
  
• Arthemy V. Kiselev (Groningen, The Netherlands)
• Gleb Koshevoy (IITP, Moscow)
  
• Toshiki Nakashima (Sophia University, Tokyo)
  
• Robert Penner (University of California & IHES)
  
• Darya Polyakova (Hamburg University)
  
• Volodya Roubtsov (Université d’Angers)
  
• Theo Saporiti (Université Paris-Saclay)
• Travis Scrimshaw (Hokkaido University)
  
• Mahsa Shirmohammadi (IRIF, Université de Paris)
  

Scientific Committee:

Joseph Ben Geloun (LIPN-Paris XIII), Alin Bostan (Inria & Sorbonne Université), Marek Bożejko (Wroclaw University), Vincent Rivasseau (Orsay-CEA), Pierre Simonnet (Univ. Corse)

Sponsors : 
IHES – Math-STIC – LIPN (UMR-7030) – LPTMC (Univ-Paris 6) – INRIA – GDR EFI – Université Sorbonne Paris Nord – ANR EAGLES