Math Graduate Student Seminar: "Model Theory and the Ax-Grothendieck Theorem"

Time/Place: Friday 1:10 - 2:00 p.m. in Surge 284

Title: Model Theory and the Ax-Grothendieck Theorem

Speaker: Mike Pierce

Abstract: Model theory, from the perspective that I'll be talking about today, is the study of algebraic structures using ideas of pure logic. Or as logician Wilfrid Hodges said, model theory is algebraic geometry minus the fields. In this talk I'll start with a brief introduction to model theory, talk about completeness and compactness, and develop some facts about the theory of algebraically closed fields. Then if all goes well, this will culminate in a fantastic proof of the Ax-Grothendieck theorem, that every injective polynomial function

Friday, April 6 at 1:10pm to 2:00pm

Campus Surge, 284

Event Type

Seminars

Website

http://mathdept.ucr.edu/research/rese...

Department
Mathematics
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