Algebra and Algebraic Geometry Seminar - Kieran Bhaskara - Comparing invariants of toric ideals of graphs & Runyue Wang - Knutson ideals
Title: Comparing invariants of toric ideals of graphs
Abstract: In this talk, we will introduce toric ideals of graphs and define a few invariants of study. These invariants, including Castelnuovo-Mumford regularity and degree of the h-polynomial are well studied for other types of ideals. For example, Hibi and Matsuda showed that for any pair $(r,d)$ of positive integers, there is a monomial ideal whose corresponding regularity and degree are $r$ and $d$. In the case of toric ideals, there are more restrictions on the possible regularity and degree values. We will give an overview of what is currently known in this case and present some avenues for further investigation.
Speaker: Runyue Wang (McMaster University)
Title: Knutson ideals.
Abstract: We will discuss Knutson ideals and some applications related to toric ideals and ladder determinantal ideals.
Location: Hamilton Hall 410