Back to Commutative Algebra Seminar: Spring 2024
Commutative Algebra Seminar
Date: Friday, Mar 29, 2024
Time: 2:00PM - 3:00PM
Location: LCB 215
Aryaman Maithani
University of Utah
Title |
Linear quotients of connected ideals of graphs |
Abstract |
Given a graph G, we define the ideal J_t(G) to be the monomial ideal generated by the t-connected subsets of the graph. In this talk, I will discuss some homological and combinatorial properties associated to monomial ideals that are of interest, namely linear resolutions and linear quotients. The two main results are (i) characterizing when J_t of a tree has linear quotients, and (ii) noting some necessary and sufficient conditions for arbitrary graphs. This is joint work with H. Ananthnarayan and Omkar Javadekar. |
Commutative Algebra