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Nonlinear PDEs in Lagrangian geometry

Arunima Bhattacharya, UW
Friday, November 19, 2021 - 3:30pm to 4:30pm
PAA A110 and via Zoom (
Physics/Astronomy Auditorium, 3910 15th Ave NE, Seattle, WA 98105 - Google Map

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 some 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.

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Zoom passcode: colloquium

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