Laurent Lafforgue (Huawei at Huawei Technologies France). Grothendieck's notion of topos is one of the broadest and richest in mathematics. It can be approached from several completely different points of view, thus making it possible to connect parts of mathematics that seemed a priori alien to each other.
Surprisingly, it is both highly abstract and "primitive" in the sense that it directly embodies basic intuitions and capacities of the human mind that would have seemed a priori pre-mathematical or meta-mathematical.
These aspects of toposes have led engineers to seize upon this notion in order to model and theorise different aspects of artificial intelligence.
Some research directions are already being actively explored, while others are waiting for more mathematicians, computer scientists and engineers to be trained in the study of Grothendieck toposes.
Sede dell’iniziativa:
Padova, Dipartimento di Matematica
Periodo di svolgimento dell’iniziativa:
Giugno 21, 2023