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"

entrée libre