Please find below the list of plenary lectures, as well as the program of the six workshops that were held at the conference, with -- were available -- the Résumé for each talk as well as the slides of the presentation.

Conférences

- B. Perthame (Université Pierre et Marie Curie),
"Adaptive evolution : a population approach"
Résumé, Slides
- U. Bruzzo (SISSA, Math. Dept.),
"Moduli spaces of sheaves and quantum field theory"
Résumé, Slides
- M. Gonzalez-Herraez (Universidad de Alcalá),
"Stimulated Brillouin Scattering in optical fibers: basic physics and applications"
Résumé
- S. Vaes (KU Leuven),
"Von Neumann algebras and ergodic theory of group actions"
Résumé, Slides
- E. Goubault (CEA LIST, Ecole Polytechnique),
"Directed algebraic topology and applications to computing"
Résumé, Slides
- P. Pansu (Université Paris-Sud),
"Hardness of approximation"
Résumé, Slides

Conférences inaugurales

- E. Ghys (ENS Lyon),
"The concept of physical measure"
Résumé
- A. Aspect (Institut d'optique - CNRS),
"From Einstein to Wheeler: wave particle duality for a single photon"
Résumé



- A. Connes (Collège de France - IHES - Ohio State University),
"Le point de vue spectral en mathématiques et en physique, la musique des formes"
Résumé

Groupes de travail

Groupe de travail: "Non-linear dynamics in optical and atomic systems"

- C. Besse (Université Lille 1),
"Numerical aspects of the nonlinear Schrödinger equation"
Résumé, Slides
- L. Bergé (Commissariat à l'Energie Atomique, DAM, DIF, Arpajon, France),
"THz generation by two-color ionizing femtosecond pulses in tightly focused and filamentation geometries"
Résumé, Slides
- G. Bouwmans (Université Lille 1),
"Photonic crystal fibers: fabrication and modeling"
Résumé, Slides
- L. Sanchez-Palencia (CNRS, Lab. Charles Fabry),
"Many-Body Localization in Interacting Bose gases"
Résumé, Slides

Groupe de travail: "Algebraic geometry, modular forms and applications to physics"

- M. Cheng (Université Paris 7),
"Umbral Moonshine: Mock Modular Forms, Finite Groups and Physics"
Résumé, Slides
- R. Cluckers (Université Lille 1),
"Motivic integration and its applications to the Langlands program"
Résumé
- O. Debarre (ENS Paris),
"Periods of algebraic varieties"
Résumé, Slides
- D. Grigoriev (Université Lille 1),
"Complexity of tropical and min-plus linear varieties and conjecture on a tropical effective Nullstellensatz"
Résumé, Slides
- V. Gritsenko (Université Lille 1),
"Automorphic discriminants in geometry, arithmetic and string theory"
Résumé
- K. Hulek (Leibniz Universität, Hanover),
"Homogeneous domains, modular forms and moduli spaces"
Résumé
- A. Klemm (Universität Bonn),
"Symplectic invariants on Calabi-Yau threefolds and automorphic forms"
Résumé
- D. Markushevich (Université Lille 1),
"Lagrangian fibrations on irreducible symplectic varieties"
Résumé, Slides

Groupe de travail: "Operator algebras, harmonic analysis and quantum groups"

- S. Attal (Université Lyon 1),
"Repeated Quantum Interactions: old and new"
Résumé
- T. Banica (Université de Cergy-Pontoise),
"Quantum permutations and Hadamard matrices"
Résumé
- J. Bichon (Université Blaise Pascal, Clermont-Ferrand II),
"Hochschild homology of Hopf algebras and free Yetter-Drinfeld modules"
Résumé
- M. Daws (University of Leeds),
"Completely positive multipliers of quantum groups"
Résumé
- Adam Skalski (Polish Academy of Sciences, Warsaw),
"Closed quantum subgroups of locally compact quantum groups and some questions of noncommutative harmonic analysis"
Résumé
- L. Vainerman (Université de Caen),
"On $Z/2Z$-extensions of pointed fusion categories"
Résumé
- R. Vergnioux (Université de Caen),
"K-theory of the unitary free quantum groups"
Résumé
- B. Collins (CNRS Lyon 1 & University of Ottawa),
"Free probability, random matrices and quantum information"
Résumé
- Roland Speicher (Saarland University),
"Sharp bounds for sums associated to graphs of matrices"
Résumé

Groupe de travail: "Mathematics and Physics for Biology"

- H.Berry (INRIA Rhone-Alphes),
"Modelling reaction-diffusion in crowded intracellular spaces"
Résumé
- Ralf Blossey (Institut de Recherche Interdisciplinaire IRI USR3078),
"Kinetic Proofreading in Chromatin Remodeling: The Case of ISWI/ACF"
Résumé
- E. Carlon (Katholieke Universiteit Leuven),
"Modeling DNA zipping and unwinding"
Résumé
- M. Carmen Romano (University of Aberdeen),
"The role of ribosome traffic on gene expression regulation"
Résumé
- M. Lefranc (Université Lille 1),
"Robustness and flexibility of Ostreococcus tauri circadian clock"
Résumé
- N. Mitarai (Niels Bohr Institute, Copenhague),
"Control translations in bacteria"
Résumé
- G. Kurosawa (Theoretical Biology Laboratory, RIKEN),
"A process promoting stable oscillations under day-night cycles"
Résumé
- D.Rand (Systems Biology Centre, University of Warwick),
"Warwick Tools for Systems Biology"
Résumé
- D. Vorotnikov (Universidade de Coimbra),
"Randomly flashing ratchets and unidirectional transport"
Résumé

Groupe de travail: "Algebraic topology, higher categories and operads"

- F. Metayer (Université Paris 7),
"Homotopy of higher categories and rewriting"
Résumé, Slides
- C. Vespa (Université de Strasbourg),
"Polynomial functors from groups to abelian groups"
Résumé
- M. Robertson (Université Lille 1),
"On the homotopy theory of props"
Résumé, Slides
- P.-A. Melliès (Université Paris 7),
"Braided notions of dialogue categories"
Résumé

Groupe de travail: "Graphs and groups"

- I. Benjamini (Weizmann Institute),
"On graph limits and random metric spaces"
Résumé, Slides
- N. Linial (Hebrew University),
"High-dimensional combinatorics"
Résumé, Notes
- G. Yu (Texas A&M University),
"Embedding and higher index theory"
Résumé, Notes