## Newton polygons and zeroes of polynomials

Series
Student Algebraic Geometry Seminar
Time
Monday, September 9, 2019 - 1:15pm for 1 hour (actually 50 minutes)
Location
Skiles 254
Speaker
Trevor Gunn – Georgia Tech
Organizer

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.