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Session

DG1: Differential Geometry Location: A704 Session Chair: Oliver Schnürer Session Chair: Miles Simon

Presentation 4

A new energy interpretation of non-compact mean curvature flow Fabian Rupp1, Tatsuya Miura2 1: University of Vienna, Austria; 2: Kyoto University, Japan Mean curvature flow is classically understood as the $L^2$-gradient flow of the volume functional. In the non-compact setting, however, this variational interpretation degenerates, since the volume is typically infinite and the associated energy identity becomes vacuous. In this talk, we present a new variational framework for non-compact mean curvature flow by interpreting it as the gradient flow of a calibration energy that quantifies the deviation from calibrated geometry. We also discuss geometric applications.