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Commutative Algebra Seminar - Lorenzo Guerrieri

Commutative Algebra Seminar
April 15, 2019
4:00PM - 5:00PM
Cockins Hall 240

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Add to Calendar 2019-04-15 16:00:00 2019-04-15 17:00:00 Commutative Algebra Seminar - Lorenzo Guerrieri Title: GCD property for Shannon extensions Speaker: Lorenzo Guerrieri (University of Catania) Abstract: Let $R$ be a regular local ring of dimension $d >1$.  Recently, several authors studied the rings obtained as infinite directed union of iterated local quadratic transforms of $R$, and call them quadratic Shannon extensions. Here we study features of directed union of local monoidal transforms of a regular local ring (monoidal Shannon extensions) and more in general of directed unions of GCD domains. In particular we are interested in understand when they still are GCD domains. Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public

Title: GCD property for Shannon extensions

Speaker: Lorenzo Guerrieri (University of Catania)

Abstract: Let $R$ be a regular local ring of dimension $d >1$.  Recently, several authors studied the rings obtained as infinite directed union of iterated local quadratic transforms of $R$, and call them quadratic Shannon extensions.

Here we study features of directed union of local monoidal transforms of a regular local ring (monoidal Shannon extensions) and more in general of directed unions of GCD domains. In particular we are interested in understand when they still are GCD domains.

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