Lie theory pervades all areas of mathematics, by providing natural encodings of symmetries; representation theory and Cartan
geometry are two of its most successfull manifestations.
CaLiForNIA aims to push the frontier of research in these two key topics, Lie Theory and Cartan Geometry in synergy with the
complementary investigations in the areas of quantum groups and more generally non commutative geometry, including physical
applications. CaLiFornia goal is to apply the new mathematics originating by the above research to the new and strategic fields of
quantum computing and geometric deep learning, top priorities in HorizonEurope.