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Variation of Instability in Invariant Theory

Algebraic Geometry Seminar

Variation of Instability in Invariant Theory
Series: Algebraic Geometry Seminar
Location: ENR2 S395
Presenter: Chi-Yu Cheng, University of Washington
Mumford's GIT quotient is one way to construct moduli spaces that parametrizes 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 choice of linearizations;
  2. wall and chamber decomposition analogous to Variation of Geometric Invariant Theory Quotient;
  3. examples and results in the case of projective toric varieties.