Differential Geometry Seminar: The Kähler-Ricci flow and optimal degenerations

Seminar | March 13 | 1:10-2 p.m. | 939 Evans Hall

 Gabor Szekelyhidi, Notre Dame

 Department of Mathematics

Chen-Sun-Wang showed that the Kähler-Ricci flow on a Fano manifold gives rise to a certain algebraic degeneration of the manifold. I will discuss in what sense this degeneration is optimal, or "most-destabilizing". An application of this result is a general convergence result for the Kähler-Ricci flow on Fano manifolds admitting a Kähler-Ricci soliton, generalizing works of Tian-Zhu and Tian-Zhang-Zhang-Zhu. This work is joint with Ruadhai Dervan.