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2023-T2 : Higher structures in geometry and mathematical physics

Higher Structures in Geometry and Mathematical Physics

Institut Henri Poincaré, Paris
Amphitheater Darboux
11, rue Pierre et Marie Curie
75005 Paris

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)

Activités principales

Introductory School at CIRM in Luminy (April 17th-21st)



  • Christian Brouder (Sorbonne Université)
  • Barbara Fantechi (SISSA)
  • Mauro Porta (U. Strasbourg)
  • Rajan Mehta (Smith College)
  • Thomas Willwacher (ETH Zurich)

Three main conferences

For more details, click "Scientific Programme" in the sidebar.

Three mini-courses

  • Benoit Fresse : Operads, Graph complexes, and Grothendieck-Teichmuller groups (May 3rd, May 10th, May 17th). 
  • Bernhard Keller : Derived categories and Hochshield cohomology (May 15th. June 5th, June 19th).
  • Olivier Schiffmann : Cohomological Hall algebras in dimensions one and two and applications. May 2,4,9,11,15,17 from 10am to 12am 
  • There will be also introductory courses - to be decided later on.


Two seminars a week will take place on Monday and Friday from 11am to 12am.

Other events

  • June 27th (to be confirmed) : One-day workshop on "Singular foliations and dg-manifolds"
  • June 31st (to be confirmed) : One-day workshop on "Geometry and Analysis at the foundations of QFT"