Mathematics Colloquium

Thursday, October 12

Time: 3:35 p.m. — 4:30 p.m.

Location: Science Center Room 323

Tags:  Colloquia, Mathematics, Sciences

Cost:  Free

Speaker: Shelley Bouchat, Indiana University of Pennsylvania 

Host: Lynne Yengulalp

Title: A combinatorial approach to minimal free resolutions of path ideals and domino ideals

Abstract: In this talk, we will look at the minimal free resolution of monomial ideals that arise from combinatorial objects.  For path ideals, we will look at monomial ideals whose minimal generating set corresponds to the set of all paths of a fixed length in a graph.  For domino ideals, we will look at monomial ideals whose minimal generating set corresponds to tilings of a tableau.  Topological arguments will be used to study the minimal free resolutions, specifically the Betti numbers, from a combinatorial point of view.  No advanced knowledge of commutative algebra is required.

Refreshments are available at 3:00 PM in SC 313F.

The department colloquia are held every Thursday (excluding holidays) at 3:35 pm in room SC 323 unless otherwise noted. All are invited to attend. 

Contact Information:

Name:  Paul Eloe
Email:  peloe1@udayton.edu