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Commutative Algebra Seminar

When are $\mathbb{Z}^{d}$-graded modules of affine semigroup rings Cohen-Macaulay
Thursday, September 22, 2022
3:00-4:00 PM (password: algebra) Virtual East Hall Map
We give a new combinatorial criterion for$\mathbb{Z}^{d}$ -graded modules of affine semigroup rings to be Cohen-Macaulay, by computing the homology of finitely many polyhedral complexes. This provides a common generalization of well-known criteria for affine semigroup rings and monomial ideals in polynomial rings. We also introduce its application on the graded modules over a quotient ring of the polynomial ring by a lattice or cellular binomial ideal if time permits. This is joint work with Laura Matusevich. Speaker(s): Byeongsu Yu (Texas A&M University)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics