Speaker: Nursel Erey, Gebze Technical University, Gebze, Turkey.
Date/Time: 26 November 2021, 5:30pm IST/ 12:00pm GMT / 7:00am ET (joining
time 5:15pm IST).
Gmeet link: meet.google.com/egt-ffkz-rcv
Title: Squarefree powers of edge ideals.
Abstract: Let $G$ be a finite simple graph. The edge ideal of $G$, denoted
by $I(G)$, is a monomial ideal generated by the monomials that correspond
to the edges of the graph. In this talk, we will be interested in
resolutions of squarefree powers of edge ideals. The $k$th squarefree
power $I(G)^{[k]}$ of $I(G)$ is generated by the squarefree monomials in
$I(G)^k$. We will explore the question of when squarefree powers of edge
ideals are linearly related or have linear resolution. This talk is based
on joint work with Jürgen Herzog, Takayuki Hibi and Sara Saeedi Madani.
For more information and links to previous seminars, visit the website of
VCAS:
https://sites.google.com/view/virtual-comm-algebra-seminar