OSU Mathematics Seminars and Colloquia
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Thu, Sep 30, 2021
Combinatorial and Commutative Algebra Seminar
4:20 PM
MSCS 405
Free resolutions and Rees algebras
Alessandra Costantini, OSU
[Abstract] [PDF]
Abstract: In the first part of this talk, I will explain why studying free resolutions of squarefree monomial ideals gives information about the free resolution of every ideal in a polynomial ring. In the second part, I will explain how knowing a free resolution for an ideal $I$ allows us to understand the algebraic structure of the Rees algebra $R(I)$, an important ring constructed by considering all powers of $I$.
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