Introduction to the Minimal Model Program

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• Fredrik Rotnes (Imperial College)
• Friday 08 November 2019, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Nils Prigge.

This talk will be an introduction to some parts of the Minimal Model Program. Starting with any mildly singular n-dimensional variety X, the goal of the Minimal Model Program is to either show that X is a fibration with positively curved fibers, or to produce a minimal model Y which is birational to X. That Y is minimal means it has a nef canonical class, in other words the restriction of a differential n-form to any curve in Y has at least as many zeroes as it has poles. In lower dimensions this goal is always achievable, while in higher dimensions there are still many conjectures. I will try to demonstrate some central techniques and results, and the talk will hopefully include many illustrative examples of the interesting geometry happening in higher dimensions.

This talk is part of the Junior Geometry Seminar series.

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