In this talk I will discuss both local and global properties of the Allen-Cahn equation in closed manifolds.

# Differential Geometry & Geometric Analysis Seminar

The Differential Geometry and Geometry Analysis seminar sees talks most often about interactions between elliptic PDE's and differential geometry. Common topics include (but are not limited to) conformal geometry, minimal surfaces and other variational problems, K\"ahler geometry, CR geometry, elliptic problems from general relativity, nonlinear and/or nonlocal elliptic or parabolic PDE's, and geometric functional inequalities.

For more information about this seminar, contact Otis Chodosh or Daniel Ketover.

**Please click on seminar title for complete abstract.**

##### Some geometric aspects of the Allen-Cahn equation

University of Chicago