Fri, November 26, 2021
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5:00pm [5:30pm] Nursel Erey, Gebze Technical University, Gebze, Turkey.
Description:
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

6:00pm