About this event
LearningLocation: Fields Institute, Room 230.
Please be advised that this is an in-person only conference!
Noncommutative geometry (NCG) extends classical geometric intuition to spaces described by noncommutative algebras, revealing their inherently dynamical nature. By uniting operator algebras, spectral methods, and algebraic geometry, it provides a powerful framework with deep ties to topology, number theory, global analysis, representation theory as well as to mathematical physics.
This conference will chart a long-range roadmap for the field, focusing on these interconnected pillars, as well as the all embracing list of fundamental examples of noncommutative spaces ranging from quantum physics to number theory. A central premise of this meeting is that emerging Artificial Intelligence technologies are shifting the boundaries of what is mathematically possible. We aim to identify foundational, long-term goals in NCG that were previously out of reach, and explore how AI-assisted methods—in heavy computation, generating examples, conjecture formulation, and formal verification—can render these intractable problems accessible.