Edge ideals and homological linear quotients
Người báo cáo: Dr. Trung Chau (Chennai Mathematical Institute, India)
Time: 9:15 - 10:15, June 24, 2026
Venue: Room 612, A6, Institute of Mathematics-VAST
Abstract: Homological shift ideals were introduced by Herzog, Moradi, Rahimbeigi, and Zhu in 2020. Given a monomial ideal $I$, the $k$-th homological shift ideal of $I$ is defined to be the monomial ideal generated by the multigraded shifts of the minimal free resolution of $I$, and denoted by $HS_k(I)$. In particular, $HS_0(I)=I$. We say that $I$ has homological linear quotients if all of its homological shift ideals have linear quotients. In this talk, I will discuss the property of having homological linear quotients for edge ideals of graphs, together with the rigidity of homological shift ideals having linear quotients. This is joint work with Kanoy Kumar Das and Aryaman Maithani.
