Kolloquien und Oberseminare Übersicht Detail

Speaker:
Prof. Micah Warren, PhD (University of Oregon)

Link zur Videokonferenz

The Hamiltonian stationary equation is the Euler-Lagrange equation for volume of gradient graphs over the space of potential functions. This is a fourth order version of the special Lagrangian equation. We first study the double-divergence equation in Euclidean space, proving that C^1 solutions must be smooth, and then offer a generalization to arbitrary Kähler manifolds. On the way we have to prove regularity results for very general class of double-divergence fourth order equations. This is joint work with Jingyi Chen and also work in progress with Arunima Bhattacharya and Jingyi Chen.