EVENT DETAILS AND ABSTRACT

Title: The Chromatic Lagrangian of a Cubic Planar Graph
Speaker: Eric Zaslow
Speaker Info: Northwestern University
Brief Description:
Special Note:
Abstract:

From a cubic planar graph, we construct a Legendrian genus-g surface in the five-sphere and consider a moduli space of Lagrangian handlebody fillings in six-space, where g + 3 is the number of faces of the graph. The moduli space M is modeled as the space of objects in a category of constructible sheaves, and is a Lagrangian subspace of a certain period domain. The number of F_q points of M is the number of (q+1)-colorings of the dual graph. Exploiting these facts, we prove the nonexistence of smooth exact fillings of these Legendrians. We also construct smooth but nonexact fillings.