Department of Mathematics,
University of California San Diego
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Math 258 - Differential Geometry
Albert Chau
UBC
The Kaehler Ricci flow with log canonical singularities
Abstract:
In this talk I will discuss certain singular (and degenerate) solutions to the Kaehler Ricci flow (KRF) on smooth compact complex manifolds. Algebraically this will correspond to solving the Kahler Ricci flow on a projective varieties with so called log canonical singularities. Analytically this will correspond to solving a complex parabolic Monge Ampere equation on a smooth manifild, with degeneracies and singularities in the equation and possibly the initial condition. Settings for this study include the analytic minimal model program via KRF, pluri-potential theory and KRF, the conical KRK, and the flow of complete unbounded curvature metrics. Our results will be discussed within each of these contexts.
Host: Lei Ni
December 9, 2020
10:00 AM
Zoom ID: 960 7952 5041
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