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Mathematical Conversations

Finite fields and the Ax-Grothendieck theorem

The Ax-Grothendieck theorem from the 1960s says that an injective polynomial $f : \mathbb C^n \to \mathbb C^n$ is also surjective. It is one of the first examples of the powerful technique in algebraic geometry of using finite fields to prove results over the complex numbers. We will give an outline of Ax's proof, which is virtually devoid of algebro-geometric input.

Featuring

Remy van Dobben de Bruyn

Speaker Affiliation

Veblen Research Instructor, School of Mathematics

Affiliation

Mathematics

Event Series

Date & Time
October 09, 2019 | 6:007:30pm

Location

Dilworth Room

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