Variation of Instability in Invariant Theory

Chi-yu Cheng (UW)
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.

Event Type