Description
Speaker: Madhusudan Manjunath
Title: Free Resolutions of Monomial Ideals II
Abstract: We will study free resolutions of monomial ideals via the
concept of labelled simplicial complexes due to Bayer, Peeva and
Sturmfels. We will derive a criterion for a labelled complex to define a
free resolution. As applications, we will obtain the exactness of the
Koszul complex and the Hilbert syzygy theorem. If time permits, we will
obtain a formula for Betti numbers of a monomial ideal in terms of a
corresponding labelled simplicial complex.