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The Lawson-Osserman conjecture for the minimal surface system


Speaker: Connor Mooney, UC Irvine
Location: 2112 MSB
Start time: Tue, Apr 23 2024, 2:10PM

In their seminal work on the minimal surface system, Lawson and Osserman conjectured that Lipschitz graphs that are critical points of the area functional with respect to outer variations are also critical with respect to domain variations. We will discuss the proof of this conjecture for two-dimensional graphs of arbitrary codimension. This is joint work with J. Hirsch and R. Tione.