Ohio State is in the process of revising websites and program materials to accurately reflect compliance with the law. While this work occurs, language referencing protected class status or other activities prohibited by Ohio Senate Bill 1 may still appear in some places. However, all programs and activities are being administered in compliance with federal and state law.

What is the Ax-Grothendieck Theorem?

Ricky Magner
July 15, 2014
4:00 pm - 5:00 pm
Enarson Classroom Building EC 326

Title:  What is the Ax-Grothendieck Theorem?

Speaker:  Ricky Magner, Eastern Connecticut

Seminar Type:   What is... ?

Abstract: The Ax-Grothendieck theorem, proven in the 1960s independently by Ax and Grothendieck, states that any injective polynomial from n-dimensional complex space into itself must also be surjective. We will prove this theorem using algebraic techniques following Tao's exposition, and discuss alternate proofs using tools from complex analysis and model theory.

What is the Ax-Grothendieck Theorem? [pdf]

Events Filters:

Seminar - What is ...?