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Commutative Algebra Seminar (First Talk) -- Hans Schoutens

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March 19, 2018
4:00PM - 5:00PM
TBD

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Add to Calendar 2018-03-19 16:00:00 2018-03-19 17:00:00 Commutative Algebra Seminar (First Talk) -- Hans Schoutens Speaker:  Hans Schoutens, CUNY   Title: Tight closure from the point-of-view of difference closure  Abstract: Tight closure is a very elegant yet powerful theory developed by Hochster and Huneke in the 90s. It exploits good properties of the Frobenius  (=the $p$-th power map in positive characteristic) to prove rather quickly some deep theorems in algebra and algebraic geometry. Since there is no apparent Frobenius in characteristic zero, the theory is much more cumbersome there, unless one takes the point of view of difference closures (and some 'mild’ use of ultraproducts). Rather than giving all the details, I will give a brief survey—Tight Closure 101—and then give some nice applications.       TBD Department of Mathematics math@osu.edu America/New_York public

Speaker:  Hans Schoutens, CUNY
 
Title: Tight closure from the point-of-view of difference closure 

Abstract: Tight closure is a very elegant yet powerful theory developed by Hochster and Huneke in the 90s. It exploits good properties of the Frobenius  (=the $p$-th power map in positive characteristic) to prove rather quickly some deep theorems in algebra and algebraic geometry. Since there is no apparent Frobenius in characteristic zero, the theory is much more cumbersome there, unless one takes the point of view of difference closures (and some 'mild’ use of ultraproducts). Rather than giving all the details, I will give a brief survey—Tight Closure 101—and then give some nice applications.

 

 

 

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