Dan Erman : Big polynomial rings

Posted by Kevin Tucker , part of the Algebraic Geometry Seminar.

At

Sept. 12, 2018, 4 p.m.

In

427 SEO

Abstract

I’ll consider limits of polynomial rings, as the number of variables goes to infinity. I’ll discuss the surprisingly simple structure of these limits and how this applies to some famous conjectures in algebraic geometry and commutative algebra, such as Stillman’s Conjecture on projective dimension and Hartshorne’s Conjecture on complete intersections. This is joint work with Steven Sam and Andrew Snowden.