Instability in Invariant Theory

Friday, October 9, 2020 - 5:00pm
Via Zoom:
Chi-yu Cheng

Geometric Invariant Theory was developed by Mumford to construct quotients in algebraic geometry. Taking GIT quotients involves testing if a point is unstable or not. Although the set of unstable points is discarded from a GIT quotient, it has interesting stories. In this talk I will give a gentle introduction to GIT stability in a very simple setting, describe a stratification of the unstable locus, and explain how these deep facts are related to very concrete convex optimization problems.

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