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Department of Mathematics,
University of California San Diego

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Math 209 - Number Theory

Taylor Dupuy

UCLA

"Linear" Constructions with Nonlinear Fermat Quotient Operators

Abstract:

The integers do not admit any nontrivial derivations. We will explain how the operation $x \to$ ${x-x^p \over p}$ can be thought of as a replacement for the derivative operator on the integers. After the introduction we hope to explain some recent work on the meaning of "linearity" in this theory.

Host: Kiran Kedlaya

November 7, 2013

12:00 PM

AP&M 7321

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