Abstract:According to mirror symmetry, the geometry of a given Fano manifold endowed with some extra data, including an arbitrary Kähler class, should be reflected in a mirror Landau-Ginzburg model, i.e. a noncompact complex manifold endowed with a nonconstant holomorphic function. On the other hand, a fundamental notion for constructing moduli of Fano manifolds is K-polystability, i.e. positi...
BIMSA Workshop on the physics of complex systemsMany physical, biological, engineering, and societal processes can be explained as complex systems, characterized by a large number of interacting degrees of freedom. The theoretical and computational tools for dissecting complex systems are founded on the physical principles, cross-pollinated by mathematics, statistics, ecology, evolutionary game...