AbstractIn 2010, Birkar, Cascini, Hacon, and McKernan proved a relative version of the minimal model program for projective morphisms of complex quasi-projective varieties, called the relative minimal model program with scaling. Their result is now fundamental to our understanding of the birational classification of quasi-projective varieties and has numerous applications. In this talk, I will ...
Description:The connection between Kähler-Einstein metrics on Fano manifolds and stability notions in algebraic geometry, often referred to as the Yau-Tian-Donaldson conjecture, is a topic in Kähler geometry that has been actively investigated in the last few decades and many deep results are known. This lecture series focuses on its finite dimensional approximations, namely the correspondence ...
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