Dmitry Tonkonog: Circle actions and the Fukaya category

The talk will be about Fukaya algebras of monotone Lagrangian submanifolds which have a Hamiltonian circle symmetry. Namely, I will compute a "topological piece" of the closed-open string map into the Hochschild cohomology of such Lagrangians, and talk about applications: split-generation and non-formality results for real Lagrangian submanifolds of some toric varieties.