Minimal model program and foliations

Calum Spicer (King's College London)

Wednesday 17th May, 2023 16:00-17:00 Maths 311B

Abstract

I will review the basic ideas and motivations of the Minimal Model Program (MMP), a series of conjectures on the structure of algebraic varieties.  I will then explain some new research directions in the MMP, with a particular focus on the development of the MMP for foliations.  These developments have implications for the study of rational curves and rational points on varieties, but also hyperbolicity properties of varieties more generally.

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