Virtual commutative algebra seminar
6.30 pm on Friday, 31 March 2023
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Venue: meet.google.com/rhf-jzen-fyf
Host: J. K. Verma
Speaker: Alexandra Seceleanu
Affiliation: University of Nebraska-Lincoln
Title: 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 joint work with Megumi Harada and Liana Sega.