A game-theoretic approach to mean curvature flow and related topics

In this talk, we give an introduction of a deterministic discrete game interpretation of the mean curvature flow, proposed by R. V. Kohn and S. Serfaty, via the level set method. We show that the game value formally converges to the viscosity solution of mean curvature flow equation. We address some related problems and discuss properties of the solution by using the game.