## EVENT DETAILS AND ABSTRACT

**Geometry/Physics Seminar**
**Title:** The Chromatic Lagrangian of a Cubic Planar Graph

**Speaker:** Eric Zaslow

**Speaker Info:** Northwestern University

**Brief Description:**

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**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.

**Date:** Thursday, May 26, 2016

**Time:** 4:00pm

**Where:** Lunt 107

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