### b-stability and blow-ups

Donaldson, S *(Imperial)*

Thursday 23 June 2011, 15:30-16:30

Seminar Room 1, Newton Institute

#### Abstract

In this lecture we will discuss some technical algebro-geometric questions which arise in connection with the existence problem for Kahler-Einstein metrics. We will begin by recalling the notion of "b-stability", which involves birational transformations of a degeneration. We will then explain how to adapt an argument of Stoppa to make progress towards proving a Kahler-Einstein manifold is b-stable.

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