Mathematical Sciences Research Institute

Home » Combinatorics of Determinantal facet ideals


Combinatorics of Determinantal facet ideals April 04, 2012 (11:00 AM PDT - 12:00 PM PDT)
Parent Program: --
Location: MSRI: Simons Auditorium
Speaker(s) Fatemeh Mohammadi (University of Bristol)
Description No Description
No Video Uploaded

The Determinantal ideals are generated by a general set of minors of a matrix of indeterminates. In the case that the generators can be identified with the facets of a simplicial complex, it is called a determinantal facet ideal.
In this talk I will discuss some algebraic properties of these ideals which can be read directly from their simplicial complexes.
One approach is to classify the prime ideals among them. Then I will consider a nice class of simplicial complexes to give a combinatorial description for primary decompositions of their associated ideals.

No Notes/Supplements Uploaded No Video Files Uploaded