The University of Arizona

The Affine Algebraic Connection

The Affine Algebraic Connection

Series: Graduate Student Colloquium
Location: ENR 2 S395
Presenter: Jonathan Taylor

In this talk, I will sketch a path from the topology of solutions to systems of polynomial equations to the structural properties of a special class of commutative rings. In particular, over an algebraically closed field the category of affine algebraic sets with regular morphisms is equivalent to the category of finitely generated reduced algebras with algebra homomorphisms.

(Refreshments will be served.)

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