Tuesday, April 22, 2014 at 3:00 PM in SAS 4201
Robert Krone, Georgia Tech
Noetherianity for infinite-dimensional toric ideals
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.
Tuesday, April 29, 2014 at 4:30 PM in SAS 4201
James Rohal, NC State
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Seminar Organizer: Jon Hauenstein