Talk page
Title:
Lagrangian correspondence in wrapped Floer theory
Speaker:
Abstract:
Homological mirror symmetry as it is stated suggests that it hold functorially, as there are rich sources of functors between B-model categories. Concerning homological mirror symmetry for non-compact varieties, on the B-side, there are strong properness conditions on morphisms inducing functors on derived category coherent sheaves, which then indicates non-trivial aspects on Lagrangian correspondences that are suitable for defining functors on wrapped Fukaya categories on the A-side. We shall introduce new (geometric) objects into the wrapped Fukaya category, and explain how to construct functors from certain classes of Lagrangian correspondences, based on these new objects. As applications, we present a Kunneth formula for wrapped Fukaya categories, and mention a possible extension of the Viterbo functor.
Link:
Workshop: