An Introduction to Diophantine Approximation (I)

Logic Seminar

Meeting Details

For more information about this meeting, contact Jan Reimann.

Speaker: Jan Reimann, Penn State

Abstract: In its most basic setting, Diophantine approximation studies how well real numbers can be approximated by rational numbers. The quality of approximation is measured as a function of the denominator. Given a non-negative function f, for which real a does the inequality | a - p/q | < f(q) have infinitely many solutions? By using the height of a polynomial, one can ask similar questions about approximation by algebraic numbers. In this series of talks, I will give an overview of some fundamental results on Diophantine approximation, from Liouville and Dirichlet to Mahler's classification.

Room Reservation Information

Room Number: 315 McAllister

Date: 10/03/2017

Time: 3:00pm - 4:00pm