Julia McClellan
Date
Wednesday September 18, 20241:00 pm - 2:00 pm
Location
Jeffery Hall, Room 115Event Category
Curves Seminar
Wednesday, September 18, 2024
Time: 1:00 p.m. Place: Jeffery Hall, Room 115
Speaker: Julia McClellan
Title: K-polynomials, Chain Complexes and Free Resolutions
Abstract: In this talk, we will conclude our discussion of Hilbert Series by introducing the related notion of a K-polynomial of a module, specifically, of a Stanley-Reisner ring. We then move on to review the basics of some homological constructions purely in the realm of our simplicial topology. In particular, we define and see some concrete examples of how to compute the chain and cochain complexes of simplicial complexes. We conclude with a brief introduction to free resolutions.