I will discuss a degenerate form of the special Lagrangian equation that arises as the geodesic equation for the space of positive Lagrangians. Considering graph Lagrangians in Euclidean space, the equation reduces to a second order fully non-linear PDE for a single real function.

# 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.**

##### The degenerate special Lagrangian equation

Hebrew University & Princeton University

##### TBD - Christos Mantoulidis

Stanford University

##### Generated Jacobian equations and regularity: optimal transport, geometric optics, and beyond

**PLEASE NOTE SPECIAL DAY, TIME AND LOCATION. **Equations of Monge-Amp{\`e}re type arise in numerous contexts, and solutions often exhibit very subtle properties; due to the highly nonlinear nature of the equation, and its degenerate ellipticity.

Michigan State University

##### TBD - Alexander Logunov

Tel Aviv University & St. Petersburg State University

##### TBD - Mei-Chi Shaw

University of Notre Dame

##### TBD - Jim Isenberg

University of Oregon

##### TBD - Chi Li

Purdue University

##### TBD - Henri Roesch

Duke University

##### TBD - Richard Bamler

University of California, Berkeley