Newton polygons and zeroes of polynomials
- Series
- Student Algebraic Geometry Seminar
- Time
- Monday, September 9, 2019 - 13:15 for 1 hour (actually 50 minutes)
- Location
- Skiles 254
- Speaker
- Trevor Gunn – Georgia Tech
We will define Newton polygons for polynomials over a valued field and prove a couple theorems using them. For example, relating the valuations of the roots of the polynomial to the slopes of the Newton polygon and proving the algebraic closure of the Puiseux series in characteristic 0.