EVENT DETAILS AND ABSTRACT

Title: The cusp Kahler Ricci flow on Quasi projective Varieties
Speaker: Albert Chau
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Abstract:

In this talk I will discuss the existence of cusp-like solutions g(t) to the Kahler Ricci flow on quasi projective varieties M (in other words, M=N\D for a compact complex manifold N with divisor D). A Kahler metric g is called cusp-like on M if it is equivalent to the standard hyperbolic punctured disc model in complex directions approaching D. The discussion will include complete solutions to the flow on M emerging from complete initial metrics with unbounded curvature, and also complete solutions to the flow on M emerging from smooth initial metrics on N (thus becoming ``instantaneously complete" on M). The talk will be based on joint work with Ka Fai Li and Liangming Shen.