### State polytopes and GIT

- Series
- Algebra Seminar
- Time
- Monday, February 15, 2010 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 171
- Speaker
- David Swinarski – University of Georgia

State polytopes in commutative algebra can be used to
detect the geometric invariant theory (GIT) stability of points in the
Hilbert scheme. I will review the construction of state polytopes and
their role in GIT, and present recent work with Ian Morrison in which
we use state polytopes to estabilish stability for curves of small genus and
low degree, confirming predictions of the minimal model program for the moduli
space of curves.