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1
Intro
2
Minimal model program (MMP): Overview
3
Basic operations in the MMP
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Steps of the MMP
5
Outcome of the MMP
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Terminal 3-fold singularities
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Example of a terminal 3-fold singularity
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General elephant (local version)
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Classification of extremal curve germs: general strategy
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General elephant: irreducible central fiber
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General elephant: consequences and generalizations
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From general elephant to hyperplane sections
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Example of semistable extremal curve germs
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Classification of irreducible exceptional curve germs
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Divisorial contractions to a point
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Q-del Pezzo fibrations
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Effective boundedness of Q-Fano 3-folds
Description:
Explore recent developments in the three-dimensional minimal model program in this 42-minute lecture by Yuri Prokhorov. Gain insights into the basic operations, steps, and outcomes of the MMP. Delve into terminal 3-fold singularities, general elephant theorems, and the classification of extremal curve germs. Examine divisorial contractions, Q-del Pezzo fibrations, and the effective boundedness of Q-Fano 3-folds. Access accompanying slides for visual support and deeper understanding of this advanced mathematical topic.

Yuri Prokhorov - Effective Results in the Three-Dimensional Minimal Model Program

International Mathematical Union
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#Mathematics #Algebraic Geometry #Computer Science #Artificial Intelligence #Minimal Model Program
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Intro