Special Colloquium

Arunima Bhattacharya, University of Washington

"Nonlinear PDEs in Lagrangian geometry"

In this talk, we will introduce the special Lagrangian and Lagrangian mean curvature type equations. We will discuss some recent developments on apriori estimates, regularity, and the existence of solutions of Lagrangian mean curvature type equations and their applications. We will also mention some recent results on the regularity of solutions of fourth-order PDEs, which are critical points of variational integrals of the Hessian of a scalar function. Examples include volume functionals on Lagrangian submanifolds.

Zoom meeting: https://uwaterloo.zoom.us/j/99159090516?pwd=Y1REWmRLd3B4cFhraE1kR0ZTU3JJZz09