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Singularity Formation along the Line Bundle Mean Curvature Flow


Speaker: Addie Chan, UC Davis
Location: 2112 MSB
Start time: Tue, Jan 23 2024, 2:10PM

The line bundle mean curvature flow (LBMCF) is a complex analogue of the Lagrangian mean curvature flow (LMCF) for graphs, with fixed points solving the deformed Hermitian-Yang-Mills equation. In this talk, we briefly overview the history of LMCF, and introduce the duality between LMCF and LBMCF. Next, we show two examples of singularities along LBMCF, one being a finite time singularity in the stable case, ruling out long time existence of the flow in general; and the other one being an infinite time singularity in the semi-stable case.