Graduate Algebraic Geometry Seminar
Jay Kopper
UIC
Counterexamples to Hilber's fourteenth problem
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.
Wednesday January 25, 2017 at 3:00 PM in SEO 712