CC BY-NC-SA 4.0 UnportedLotay, Jason D.2022-08-052022-08-052021https://oa.tib.eu/renate/handle/123456789/9944http://dx.doi.org/10.34657/8982Lagrangian mean curvature flow is a powerful tool in modern mathematics with connections to topics in analysis, geometry, topology and mathematical physics. I will describe some of the key aspects of Lagrangian mean curvature flow, some recent progress, and some major open problems.enghttps://creativecommons.org/licenses/by-nc-sa/4.0/510Geometry and TopologyLagrangian mean curvature flowReport9 S.