2 feb 2023 -- 11:30
Aula Tricerri, DIMaI, Firenze
Seminario di Geometria del Dini
Abstract.
Born geometry was introduced in the physics literature about ten years ago. It has since been explored by physicists in the context of so-called generalized T-dualities related to string theory. In this talk I will discuss the mathematics behind this structure. I will explain that Born geometry is, at least in the integrable case, an enhancement of the geometry obtained from a symplectic form equipped with two complementary Lagrangian foliations. This geometry is familiar to many mathematicians, and appears, for example, in the discussion of Anosov symplectomorphisms, and in the theory of affinely flat manifolds. I will explain the basic definitions, some of the connections arising in this setting, and the construction of non-trivial examples.
(The talk is based on joint work in progress with M.J.D. Hamilton and P. Pilatus.)