Towards algebro-geometric understanding of K-stability of Fano varieties - Yuji Odaka

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Date: Tuesday 27th November 2012Speaker: Yuji Odaka (Imperial)Title: Towards algebro-geometric understanding of K-stability of Fano varieties.Abstract: The K-stability of Fano manifold was introduced by Tian in 90s and reformulated, generalized in more algebraic way by Donaldson. It is a (conjectural) counterpart of existence of Kahler-Einstein metrics which gives a "unique" way to regard Fano variety as Kahler (thus Riemannian) manifold, which the speaker has been expected to give application to construction of projective moduli variety of Fano varieties  and even more general polarized varieties ("K-moduli") as well.However, for a given Fano manifold, it is actually hard to see it is K-stable or not in general, even for simple examples. This is the main focus of the talk. Reviewing the developments so far, I would like to discuss for future developments.http://www.maths.ed.ac.uk/cheltsov/seminar/

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