1:30PM - 3:30PM: Two applications of p-derivations to commutative algebra
Location: Online via ZoomThe 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).