I will review some recent works with Paul on the fourth order Paneitz operators and Q curvature equations. Among other things, we will discuss the positivity of Green's function of Paneitz operator and its applications to finding constant Q curvature metrics by variational methods.

# 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 Antonio Ache and Jeffrey Case.

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

##### TBA - Streets

University of California Irvine

##### Sign of Green's function of Paneitz operator and the Q curvature equations

NYU