##### 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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