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The K\"ahler-Ricci flow on compact K\"ahler manifolds
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These notes are based on a lecture series given at the Park City Math Institute in the summer of 2013. The notes are intended as a leisurely introduction to the K\"ahler-Ricci flow on compact K\"ahler manifolds, aimed at graduate students with some background in differential geometry.
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Preserving curvature lower bounds when Ricci flowing non-smooth initial data
A survey of results on Ricci flow from non-smooth initial data, focusing on preservation of lower curvature bounds and open problems.
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