- Series
- Algebra Seminar
- Time
- Monday, September 9, 2013 - 3:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Robert Krone – Georgia Tech – rkrone3@math.gatech.edu – http://people.math.gatech.edu/~rkrone3/
- Organizer
- Salvador Barone
Given a family of ideals which are symmetric under some group action on the
variables, a natural question to ask is whether the generating set
stabilizes up to symmetry as the number of variables tends to infinity. We
answer this in the affirmative for a broad class of toric ideals, settling
several open questions in work by Aschenbrenner-Hillar, Hillar-Sullivant,
and Hillar-Martin del Campo. The proof is largely combinatorial, making use
of matchings on bipartite graphs, and well-partial orders.