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2023-T2 : Higher structures in geometry and mathematical physics

Higher structures in geometry and mathematical physics, Paris

Amphitheater Darboux
11, Rue Pierre et Marie Curie
75005 Paris

Program : Higher structures, in particular homotopy algebras, have appeared in many branches of mathematics and particularly in mathematical physics ranging from deformation theory, derived geometry, enumerative geometry, representation theory, homotopy algebras, Poisson geometry and quantization, mirror symmetry, noncommutative algebraic geometry, string theory and quantum field theory This IHP trimester aims to promote interaction between mathematicians, physicists and groups working on related areas from different aspects. It brings together leading experts and young researchers in these subjects to address the important questions.


Comité d’organisation scientifique :

  • Kai Behrend (University of British Columbia)
  • Barbara Fantechi (Scuola Internazionale Superiore di Studi Avanzati)
  • Camille Laurent-Gengoux (Université de Lorraine)
  • Mathieu Stiénon (Pennsylvania State University)
  • Ping Xu (Pennsylvania State University)


April 17th-21st : Introductory School in CIRM, Marseille. 


  • Christian Brouder (Sorbonne Université), 
  • Barbara Fantechi (Sissa), 
  • Mauro Porta (U Penn), 
  • Rajan Mehta (Smith College, Northampton), 
  • Thomas Willwacher (ETH Zurich)




Main conferences (see "Programm" for more details) :




Mini-courses :


Benoit Fresse : Operads, Graph complexes, and Grothendieck-Teichmuller groups (May, 3rd/10th/17th). 

Bernhard Keller : Derived categories and Hochshield cohomology (May 15thn June 5th, 19th).

Olivier Schiffmann, Cohomogical Hall algebra.



Special events : 


  • June ?st (to be confirmed). Singular foliations and dg-manifolds : workshop.
  • June 31st (to be confirmed) Geometry and Analysis at the foundations of QFT