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Abstracts

Miles Simon

Title: Some local results for the Ricci flow.

Abstract: In this talk we present local results for the Ricci flow. In dimension two we generalise G.Perelman's "Pseudolocality" result to allow cone like regions ( which are by definition not locally euclidean ). We show that under certain assumptions one also obtains a local result ( different from that of Perelman ) in three dimensions.