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Monday, October 9, 2017
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11:00am [11:30am]Madhusudan Manjunath
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.

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