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# Tristan Collins : Sasaki-Einstein metrics and K-stability

I will discuss the connection between Sasaki-Einstein metrics and algebraic geometry in the guise of K-stability. In particular, I will give a differential geometric perspective on K-stability which arises from the Sasakian view point, and use K-stability to find infinitely many non-isometric Sasaki-Einstein metrics on the 5-sphere. This is joint work with G. Szekelyhidi.

**Category**: Geometry and Topology**Duration**: 01:14:57**Date**: January 19, 2018 at 11:55 AM**Views**: 109-
**Tags:**seminar, Geometry/Topology Seminar

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