Infinite dimensional equivariant commutative algebra

Abstract: Certain infinite variable polynomial rings equipped with actions of large groups (like the infinite symmetric group or the infinite general linear group) behave in many ways like finitely generated algebras; for instance, one sometimes has an "equivariant noetherian" property. I will discuss some deeper parallels with commutative algebra, and how these somewhat exotic objects can be applied to study classical questions.

commutative algebra

Audience: researchers in the topic

Fellowship of the Ring

Series comments: Description: National Commutative Algebra Seminar

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