Twelfth edition of the Combinatorics and Arithmetic for Physics

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), Sergei NECHAEV (Université Paris-Saclay), 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.

 

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List of speakers:

• Cyril Banderier (LIPN)
• Marek Bożejko (Wroclaw University)
• Philippe Di Francesco (IPhT Saclay)
• Vladimir Dotsenko (Université de Strasbourg)
  
• Vladimir Fock (IRMA Strasbourg)
  
• Oleg Kaikov (LIST, Saclay)
  
• Arthemy Kiselev (University of Groningen)
  
• Maxim Kontsevich (IHES)
  
• Pierre-Vincent Koseleff (IMJ-PRG)
  
• Gleb Koshevoy (IITP, Moscow)
  
• Anastasia Matveeva (École polytechnique)
  
• Thomas Müller (LIPN, Paris)
• Hiroaki Nakamura (Osaka University)
  
• Toshiki Nakashima (Sophia University Tokyo)
  
• Lucas Pannier (Université de Versailles Saint-Quentin en Yvelines)
• Karol Penson (LPTMC, Sorbonne Université)
• Parham Radpay (Université Paris-Saclay)
  
• Kilian Raschel (Université d’Angers)
  
• Vladimir Roubtsov (Université d’Angers)
  
• Thomas Simon (Université de Lille)
  
• Reiko Toriumi (Okinawa Institute of Science and Technology)
  

Scientific Committee:

Joseph Ben Geloun (LIPN-Paris XIII), Alin Bostan (INRIA), 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