Algebra and Combinatorics Seminar

Date: April 23, 2021

Time: 3:00PM - 4:00PM

Location: Zoom

Speaker: Byeongsu Yu, TAMU

Title: When is the quotient of a semigroup ring by a monomial ideal Cohen-Macaulay?

Abstract: We give a new combinatorial criterion for quotients of affine semigroup rings by monomial ideals 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. This is joint work with Laura Matusevich.