DMS Linear Algebra/Algebra Seminar

Speaker: Doug Leonard

Title: Desingularizing function fields

Abstract: I'll give a few examples of poorly coordinatized domains (and hence their function fields), and explain desingularization in terms of proper coordinatization and formal Laurent series. But, for a mostly linear algebra audience, I'll focus on what I call unimodular transformations (since they come from unimodular matrices), and how they do a better job of desingularization than sequences of blowups.