Finite-Time Singularities of the Kähler–Ricci flow
When
4 – 5 p.m., Feb. 5, 2026
Where
Math, Room 501
Title: Finite-Time Singularities of the Kähler–Ricci flow
Abstract: The Ricci flow is a geometric evolution equation which deforms a Riemannian metric by its Ricci curvature, with the goal of producing particularly nice or canonical geometries. In the setting of Kähler geometry, one can often continue the flow on a new space even after the original geometry has become singular, but a clear geometric understanding of this process remains incomplete.
I will first discuss this picture in complex dimension two, where in joint work with Conlon–Ma, we give a precise geometric description of the flow into the singularities. I will then discuss conjectures in higher dimensions linking the behavior of the flow with algebraic geometry, and overview recent progress toward these conjectures.