Presentation
The non-relativistic limits of Einstein’s theory—also known as non-Lorentzian limits—are obtained by letting the speed of light c tend to infinity (the Galilean limit) or to zero (the Carrollian limit). The Poincaré group of special relativity is thus replaced by the Galilean group or the Carroll group.
Non-Lorentzian theories are based on geometric and algebraic structures of great interest. They also have numerous applications, ranging from holography for asymptotically flat spaces to the study of certain models of condensed matter, including zero-tension strings, cosmology, and the physics of null hypersurfaces in general relativity (examples of which include black hole horizons and the light-genus infinity).
The course for the 2025–2026 academic year will establish the non-relativistic limits of Einstein’s theory, study its mathematical properties, and cover certain applications. The course itself will focus on theoretical aspects, while the seminars will focus on recent applications.
The course will take place on Wednesdays from 2:00 p.m. to 3:30 p.m., followed by the seminar from 4:00 p.m. to 5:30 p.m. (except on June 10, when two sessions will be held back-to-back).