Principal symmetric ideals

Abstract: Consider a homogeneous polynomial f in variables x_1,...,x_n. The set of polynomials obtained from f by permuting the variables in all possible ways generates an ideal, which we call a principal symmetric ideal. What can we say about the Betti numbers of a principal symmetric ideal? I will give a general answer in this talk. This is a joint work with Megumi Harada and Liana Sega.

Mathematics

Audience: advanced learners

IIT Bombay Virtual Commutative Algebra Seminar

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