Geometric applications of geometric flows

In the last 20-30 years, geometric flows have been at the core of many spectacular breakthroughs in a wide range of problems in geometry, including, for example, the proof of the Riemannian Penrose conjecture using the inverse mean

curvature flow; the proof of the geometrisation conjecture using Ricci flow; and the proof that manifolds with 1/4-pinched curvature are space forms using Ricci flow and the notion of isotropic curvature. Geometric flows also appear naturally in many different contexts. For these reasons, we intend to use geometric flows as a unifying methodology for a general conference on geometry to commemorate that, in 2027, one hundred years have passed since Gösta Mittag-Leffler died.