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Variation of Instability in Invariant Theory

Chi-yu Cheng (UW)
Tuesday, May 26, 2020 - 1:30pm
https://washington.zoom.us/j/98119211325

Mumford's GIT quotient is one way to construct moduli spaces that parametrize classes of algebro-geometric objects. It turns out there is an interesting structure on the set of unstable points discarded in the GIT quotients. In this talk I would aim to describe:

1. the stratification of the unstable points and its variation caused by different choices of linearizations;

2. a wall and chamber decomposition analogous to Variation of Geometric Invariant Theory Quotient;

3. examples and results in the case of projective toric varieties.

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