Geometric Regularity of Singularity Models of the K盲hler-Ricci Flow
Geometric Regularity of Singularity Models of the K盲hler-Ricci Flow
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Max Hallgren, Rutgers University
One way to understand singularities of Ricci Flow is to zoom in near a singularity and study the subsequential limits, called singularity models. In this talk, we will discuss new results on the structure of singularity models in the setting of complex projective manifolds, building on recent estimates developed by W. Jian, J. Song, and G. Tian. We will see a new differential Harnack inequality for the heat equation coupled to the K盲hler-Ricci Flow and how such an estimate may be applied to prove distance distortion estimates. We will also discuss the consequences of these estimates for singularity models of projective K盲hler-Ricci Flows, including their continuity in time and a more precise description of their infinitesimal structure.听