Two applications of $p$-derivations to commutative algebra

Abstract: 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, $$-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).

commutative algebra

Audience: researchers in the topic

Fellowship of the Ring

Series comments: Description: National Commutative Algebra Seminar

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