An Introduction to Diophantine Approximation (I)
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
Time: 3:00pm - 4:00pm