On base point freeness in positive characteristic

On base point freeness in positive characteristic

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Paolo Cascini , Imperial College London
Fine Hall 314

Please note special day and time.  Many of the results in the Minimal Model Program depend on Kodaira vanishing theorem and its generalizations. On the other hand, because of the failure of these tools in positive characteristic, many of these results are still open in this case. I will describe some recent progress towards the base point free theorem and the cone theorem over an algebraically closed field of positive characteristic.