Commutative Algebra

Date:  Thursday, March 21, 2013
Location:  3096 East Hall (3:00 PM to 4:00 PM)

Title:  Doubly Universal Grobner bases

Abstract:   A universal Grobner basis of an ideal in a polynomial ring is a finite set of polynomials which is a (non-reduced, non-minimal) Grobner basis for every monomial order. In this talk, I’ll explain a way to generalize this notion from ideals in a polynomial ring to an ideal sheaf defining the universal family over a Hilbert scheme, and I’ll describe the form of such a universal Grobner basis. I’ll end by discussing an application to studying 1-dimensional torus orbits in a Hilbert scheme. This part is work in progress.
This is joint work with Mathias Lederer.


Speaker:  Jenna Rajchgot
Institution:  University of Michigan

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