Tim Knyazhevskiy (Queen's University)
Date
Wednesday February 26, 20253:00 pm - 4:00 pm
Location
Jeffery Hall, Room 319Event Category
Curves Seminar
Wednesday, February 26, 2025
Time: 3:00 p.m. Place: Jeffery Hall, Room 319
Speaker: Tim Knyazhevskiy
Title: Hilbert Series and K-Polynomials in the multigraded setting
Abstract: In this talk we will extend the definition of the Hilbert series of a Module over a graded polynomial ring to that of a multigrading. We will encounter the rings necessary for the support of such Hilbert series, aiming to obtain an understanding of completions over semigroups and the notion of finite translates. This will culminate in the definition of the K-polynomial of a finitely generated graded module over a polynomial ring positively multigraded by an abelian group.