Algebro-geometric study of K-stability of varieties
-- Yuji Odaka, November 22, 2013

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The K-stability of varieties is a purely
algebro-geometric notion, although coming from differential
geometric motivation (Yau, Tian, Donaldson).

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I am willing to explain how K-stability is also natural and
interesting from ALGEBRO-geometric viewpoint as well, whose
large parts should be not yet discovered.

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After special emphasis on basics, I'll "sketch" works relating
it to
   
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1. Birational geometry (MMP-based) 

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2. Construction of moduli of varieties.

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Time permitting, I may add more explanations on Fano case.