Seminars & Colloquia Calendar

Download as iCal file

Learning Seminar on PDE and Applications

Yu Yuan: Special Lagrangian and quadratic Hessian equations

University of Washington

Location:  Hill 525
Date & time: Thursday, 16 October 2025 at 2:00PM - 3:20PM

Abstract: 

We survey some new and old, positive and negative results on a priori
estimate, regularity, rigidity, and constant rank results for special
Lagrangian and quadratic Hessian equations. These equations originate in

calibrated, convex, conformal, and complex geometries among other fields.

Unlike all other order Hessian equations such as the linear (Laplace) and top

order (Monge-Ampere) equations, the regularity/irregularity and a priori Hessian estimates

for these two equations have not been settled yet in five and higher dimensions.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.