Introduction to Diophantine Approximation with Applications to Arithmetic Geometry

Series
Algebra Student Seminar
Time
Friday, November 5, 2021 - 10:00am for 1 hour (actually 50 minutes)
Location
Skile 005
Speaker
Ian Lewis – Georgia Tech
Organizer
Marc Härkönen

One question addressed in the field of Diophantine approximation is precisely quantifying how many "good" approximations an algebraic number has by rational numbers. This is answered most soundly by a 1955 theorem of Klaus Roth. In this talk, I will cover this theorem, some related results and hint at how it can be used to bound the number of rational solutions to curves.