Calvin Fletcher
Date
Wednesday November 13, 20241:00 pm - 2:00 pm
Location
Jeffery Hall, Room 115Event Category
Curves Seminar
Wednesday, November 13th, 2024
Time: 1:00 p.m. Place: Jeffery Hall, Room 115
Speaker: Calvin Fletcher
Title: Applications of Alexander Duality
Abstract: In this talk we will explore two important applications of Alexander duality. In the previous talk, we discussed the Alexander dual of a square-free monomial ideal. In this talk we will drop the square-free assumption and define Alexander duality in that setting. This will have an important application regarding a certain kind of decomposition of monomial ideals. The second application we will study has to do with resolutions of Alexander ideals. In studying this application, we will briefly review some homological algebra concepts such as the Zigzag Lemma.