Jay Kopper : Counterexamples to Hilber's fourteenth problem

Posted by John Kopper , part of the Graduate Algebraic Geometry Seminar.

At

Jan. 25, 2017, 3 p.m.

In

SEO 712

Abstract

Hilbert's fourteenth problem asks whether certain subrings of polynomial rings over a field $k$ must be finitely generated over $k$. Nagata first found a counterexample in 1958. Since then, considerable progress has been made in producing many new interesting counterexamples. In this two part seminar, I will discuss another counterexample of Nagata that exploits a surprising relationship between algebra and geometry.