Наредни састанак семинара биће одржан у уторак 30. децембра 2025, у сали 830 Математичког факултета.

Предавач: Филип Живановић, Simons Center for Geometry and Physics

Наслов: Quantum cohomology and Floer invariants for semiprojective toric manifolds

Апстракт:

In this talk, I will review recent joint work with Alexander Ritter on semiprojective toric manifolds.    These are noncompact toric manifolds, defined as the GIT/Kähler quotient of a torus action on a vector space, and as such, are symplectic C*-manifolds, defined in our previous work. As a particular instance of that work, the quantum cohomology and symplectic cohomology of these toric manifolds are well defined. We prove that the latter is isomorphic to the Jacobian ring of the superpotential, thereby establishing the closed-string mirror symmetry statement for these toric manifolds.