Monthly Archives: June 2025

Conference “Mathematics as an artistic experience”

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Affiche de conférence et exposition sur l'interaction entre les mathématiques et l'art, mettant en avant les détails de l'événement à Paris, le 11 juillet 2025.

On 11 July 2025 a conference and exhibition celebrating the relationships between mathematics and art will take place at the Hermite Amphitheater of the Henri Poincaré Institute (11 Rue Pierre et Marie Curie, Paris) from 2:00 p.m. to 8:00 p.m. The event is jointly organised by the Grothendieck Institute, the Institut Henri Poincaré and the MICS Laboratory of CentraleSupélec (Université Paris-Saclay).

The conference will feature talks by Charles Alunni, Coordinator of the Centre for Grothendieckian Studies (CSG), Mateo Carmona, Archivist at the CSG, and Francesco La Mantia, philosopher of language at the University of Palermo.

On the occasion of the conference, an exhibition of mathematically inspired works by Dominique Lepetz, a former student of Alexander Grothendieck, will be inaugurated in the presence of the artist.

Participation is free, subject to registration using the form available on the event webpage:
www.igrothendieck.org/en/maths-art

Looking forward to seeing many of you there!

Course on “Relative toposes for artificial general intelligence”

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In the forthcoming weeks, in the framework of my D’Alembert Chair at the Université Paris-Saclay, I shall give a course at the MICS Laboratory of CentraleSupélec on “Relative toposes for artificial general intelligence“.

ABSTRACT:

Topos theory can be described as the science of invariants. The theory of relative toposes consists in methods and techniques for studying toposes in relation to each other. Viewing toposes as spaces embodying information, this theory notably paves the way for the development of new, very dynamical and structural forms of modelling, both of ‘real’ entities and phenomena, and of (natural or artificial) learning processes. In particular, it naturally leads to the design of systems implementing principles of meta-learning (in the sense of learning taking place at different levels of abstraction constructed on top of each other).

The first part of the course will provide a conceptual introduction to the theory of relative toposes and its relevance for AI, while the second will present some first applications of this theory in connection with the modelling and solution of Raven progressive matrices and, more generally, of ARC-type problems.

N.C. No previous knowledge of topos theory is necessary for understanding the key ideas and methods presented in the course.

DATES:

– Thursday 26 June 2025, 14-16, Amphi SC.046 (Peugeot), Bouygues building (9 Rue Joliot Curie, 91190 Gif-sur-Yvette).
– Thursday 3 July 2025, 14-16, Amphi SC.046 (Peugeot), Bouygues building (9 Rue Joliot Curie, 91190 Gif-sur-Yvette).

Looking forward to seeing many of you there!