Carrollian Physics and Geometry

Recent years have witnessed a surge of interest in physical theories that go beyond Lorentzian symmetry, revealing that non-Lorentzian frameworks are not only mathematically rich but also deeply relevant to real-world physics. At the heart of this revival lie Carrollian symmetries: originally considered a mere mathematical curiosity, they are now recognized as playing an increasingly important role across different areas of physics, including gravity, scattering amplitudes, condensed matter physics, cosmology, as well as in mathematics.

This workshop brings together leading researchers to explore the rapidly expanding landscape of Carrollian physics and geometry. Carroll symmetries naturally describe the geometry of null surfaces, including black hole horizons, as well as limits of Einstein gravity. They have become a key ingredient in modern approaches to flat space holography, including both Carrollian and Celestial holography, and in understanding their interconnections.

Beyond gravity and holography, Carrollian structures appear in a striking variety of systems: fractons, bi-layer graphene, Luttinger liquids, shallow water dynamics, quark–gluon plasma models, inflation and dark energy, tensionless strings, and strings near black holes. On the mathematical side, Carrollian geometries — with their degenerate metrics — open new avenues for research, hinting at dualities with Galilean structures and calling for new geometric and analytic tools.

Motivated by both recent progress and outstanding open problems, this workshop aims to clarify foundational aspects of Carroll physics, develop new theoretical frameworks, and foster collaborations across disciplines. Key topics include flat space holography, black hole microphysics, Carrollian quantum field theories, exactly solvable models, condensed-matter applications, quantum phase transitions, and emerging observational connections such as photon ring physics.

By gathering experts from around the world, the workshop seeks to explore the rich and sometimes unexpected physical consequences of Carrollian symmetries and to stimulate new directions in the study of Carrollian phenomena across physics and mathematics.