April 15, 2019
4:00PM - 5:00PM
Cockins Hall 240
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
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
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.