|GEOMETRIC PDE SEMINAR|
|Topic:||Green Functions and Mean Field Equation at Critical Parameters on Torus|
|Affiliation:||National Taiwan University|
|Date:||Tuesday, March 24|
|Time/Room:||2:00pm - 3:00pm/S-101|
The location of blowup points is often related to critical points of Green function. In fact, Green function plays a important role to understand the solutions structure of mean field equations. We will show how to use the elliptic function and the PDE technique together to understand the structure of solution at the critical parameters. As an application of our theory, we prove the Green function of any torus has five critical points.