The conferences emphasize on an active participation of young researchers to discuss emerging topics of collaborative research. They are organised in half day and day sessions covering one central topic. Introductory courses open to students are proposed at the beginning of the sessions, then completed by more specialized one-hour presentation, and a session of working-discussion that tackle open questions and future development lines.
- Poster Sessions: poster sessions are every afternoon after the talks and after diner in the lounge room.
- Introductory presentation: Paul Bourgine : Complex Systems Digital Campus (CS-DC)
- Session 1: Information-theoretic geometry of metric measure spaces (particular and general).
Organisers: Michel Ledoux (Institut de Mathématiques de Toulouse, France), Mokshay Madiman (University of Delaware, USA)
Mini-course: Mokshay Madiman (University of Delaware, USA)
Speakers: Thomas Courtade (University of California, Berkeley, USA), Nathael Gozlan (Université Paris-Est, France), Oliver Johnson (University of Bristol, UK), Jan Maas (IST, Austria).
Abstract: This session will explore the geometry of particular instances as well as general classes of metric measure spaces as captured using the notion of entropy.
Session 2: Information and topology
Organisers: Pierre Baudot (INSERM, Fance), Daniel Bennequin (Université Paris Diderot, France), Michel Boyom (Université du Languedoc-Montpellier II, France), Herbert Gangl (Durham University, UK), Matilde Marcolli (Caltech, USA), John Terilla (Queens College, USA).
Speakers: Pierre Baudot (INSERM, Fance), Daniel Bennequin (Université Paris Diderot, France), Michel Boyom (Université du Languedoc-Montpellier II, France), Philippe Elbaz-Vincent (Institut Fourier, France), Tom Leinster (University of Edinburgh, UK), Matilde Marcolli (Caltech, USA), John Terilla (Queens College, USA)
Abstract: Arising from polylogarithmic functional equation, tropical semirings and probability theory studies, this session will adress the progresses acheived in caracterising the topology associated to information and probability theory, notably expressing some features of motive and operad.
Session 3: Classical/Stochastic Geometric Mechanics and Lie Group Thermodynamics /Statistical Physics
Organisers: Frédéric Barbaresco (Thales, France), Joël Bensoam (IRCAM, France).
Speakers: Frédéric Barbaresco (Thales, France), Joël Bensoam (IRCAM, France), François Gay-Balmaz (LMD-ENS, France), Frédéric Hélein (Université Paris-Diderot, France), Bernhard Maschke (Claude Bernard University, France).
Abstract: This session will address methods of variational calculus combined with stochastic analysis, Multi-Symplectic Geometry and Lie Group theories to study foundations of Stochastic Geometric Mechanics and Lie Group Thermodynamics.
Session 4: Geometry of quantum states and quantum correlations
Organisers: Dominique Spehner (Institut Fourier, France)
Speakers: Madalin Guta (University of Nottingham, UK), Dominique Spehner (Institut Fourier, France), Karol Zyczkowski (Jagiellonian University, Poland) (...TBA).
Abstract: The aim of this session is to explore the different Riemannian geometries that can be used to describe and quantify quantum correlations in composite quantum systems, together with their operational interpretations in quantum information theory.
- Session 5: Quantum states of geometry and geometry of quantum states.
Organisers: Carlo Rovelli (Centre de Physique Theorique de Luminy, France)
Speakers: Livine Etera (ENS Lyon, France), Antonino Marcianò (Fudan University, China), Carlo Rovelli (Centre de Physique Theorique de Luminy, France).
Abstract: The objective of the session is to make the point on the way geometry and quantum correlations are related in quantum gravity. The focus would be on the recent developments in the possibility of describing quantum states of the geometry with long distance correlations.
- Session 6: Geometric Statistics on Manifolds and Shape Spaces.
Organisers: Stéphanie Allasonnière (Paris V University, France), Xavier Pennec (INRIA sophia, France)
Mini-course: Xavier Pennec (INRIA sophia, France), Alain Trouvé (ENS Cachan, France)
Speakers: Marc Arnaudon (IMB, France), Aasa Feragen (DIKU, Denmark), Stanley Durrleman (ARAMIS lab, France), Ian Dryden (University of Nottingham, UK), Alice Le Brigant (IMB, Université de Bordeaux, France)
Abstract: This session presents recent progresses in geometric statistics. In many applications domains such as computational anatomy and phylogenetics, computer vision, structural biology, one models data as elements of a manifold which is quotiented by a proper and isometric Lie group action (a shape space).
- Session 7: Geometry of Information for Neural Networks, Machine Learning, and Artificial Intelligence.
Organisers: Nihat Ay (MPI-MIS, Germany), František Matúš (Institute of Information Theory and Automation, Czech Republic)
Speakers: Nihat Ay (MPI-MIS, Germany), Tobias Fritz (Perimeter Institute, Canada), Luigi Malago (RIST, Romania), František Matúš (Institute of Information Theory and Automation, Czech Republic), Guido Montúfar (MPI-MIS, Germany), Johannes Rauh (Leibniz Universität, Germany), Milan Studený (Institute of Information Theory and Automation, Czech Republic).
Abstract: This session will review the role in network analysis within the fields of artificial intelligence and machine learning, of geometric objects defined in terms of information equalities as well as information inequalities.