Geometric Analysis and Topology Seminar

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Tangent cones of Kahler-Ricci flow singularity models

Speaker: Max Hallgren, Rutgers University

Location: Warren Weaver Hall 512

Date: Friday, February 23, 2024, 11 a.m.

Synopsis:

Abstract:  By the compactness theory of Bamler, any finite time singularity of the Kahler-Ricci flow is modeled on a singular Kahler-Ricci soliton, and such solitons are infinitesimally metric cones. In this talk, we will see that these cones are normal affine algebraic varieties, using a new method for proving Hormander-type L^2 estimates on singular shrinking solitons.