Mirror Lagrangians to lines in P^3
27.03.2023 16:00 – 18:00
We discuss work in progress in which we construct, for any
tropical curve in R^n with vertices of valence at most 4, a Lagrangian
submanifold of (C^*)^n whose moment map projection is a tropical amoeba.
These Lagrangians will have singular points modeled on the Harvey-Lawson
cone over a 2-torus. We also consider a certain 4-valent tropical curve
in R^3, for which we can modify the singular Lagrangian lift to obtain a
cleanly immersed Lagrangian. The objects of the wrapped Fukaya category
supported on this Lagrangian correspond, under mirror symmetry, to lines
in CP^3. If time permits, we will explain how to use functors induced by
Lagrangian correspondences to see this mirror relation.
Lieu
Bâtiment: Conseil Général 7-9
Room 6-13, Séminaire "Fables géométriques"
Organisé par
Section de mathématiquesIntervenant-e-s
Sebastian Haney, Columbia Uentrée libre
Classement
Catégorie: Séminaire