Geometric Analysis and Topology Seminar

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Expanding soliton models for Kahler-Ricci flow near conical singularities

Speaker: Max Hallgren, Rutgers University

Location: Warren Weaver Hall 512

Date: Friday, April 10, 2026, 11 a.m.

Synopsis:

Hamilton proved that every compact Riemannian manifold admits a unique short-time solution to the Ricci flow. Since then, much work has been devoted to extending this theory to singular initial data and to understanding the geometry of the resulting flow near singular points. In this talk, I will discuss recent joint work with Longeng Chen and Lucas Lavoyer on Ricci flows whose initial data is a Kähler space with isolated conical singularities. I will explain how expanding solitons arise as models for the flow near the singular set, and I will also discuss the relationship between our solutions and the Kähler–Ricci flow through singularities constructed by Song and Tian.