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Seminar

Combinatorics of Determinantal facet ideals April 04, 2012 (11:00AM PDT - 12:00PM PDT)
Location: MSRI: Simons Auditorium
Speaker(s) Fatemeh Mohammadi
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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.

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