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

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

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.

After special emphasis on basics, I'll "sketch" works relating it to

1. Birational geometry (MMP-based)

2. Construction of moduli of varieties.

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