Home /  Fellowship of the Ring, National Seminar: Two applications of p-derivations to commutative algebra

Seminar

Fellowship of the Ring, National Seminar: Two applications of p-derivations to commutative algebra May 07, 2020 (01:30 PM PDT - 03:30 PM PDT)
Parent Program: --
Location: SLMath: Online/Virtual
Speaker(s) Jack Jeffries (University of Nebraska)
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Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Two Applications Of P-Derivations To Commutative Algebra

Abstract/Media

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The notions of derivations and modules of differentials have been central in commutative algebra for much of its history. A somewhat more exotic notion is that of p-derivations: these are maps that satisfy functional equations similarly to derivations, but are not even additive. Nonetheless, p-derivations and related constructions have found applications in arithmetic geometry. In this talk, we will give a basic introduction to p-derivations, and discuss two applications to commutative algebra, based on projects with Melvin Hochster and Anurag K. Singh (each).

 

Speaker: Dr. Jack Jeffries, CIMAT

Asset no preview Notes 13.6 MB application/pdf

Two Applications Of P-Derivations To Commutative Algebra

H.264 Video 25028_28416_8329_Two_Applications_of_P-Derivations_to_Communicative_Algebra.mp4