Geometric Discrepancy and Harmonic Analysis

Analysis Seminar
Thursday, November 20, 2008 - 11:00
1 hour (actually 50 minutes)
Skiles 255
IAS & U South Carolina

Note change in time.

The theory of geometric discrepancy studies different variations of the following question: how well can one approximate a uniform distribution by a discrete one, and what are the limitations that necessarily arise in such approximations. Historically, the methods of harmonic analysis (Fourier transform, Fourier series, wavelets, Riesz products etc) have played a pivotal role in the subject. I will give an overview of the problems, methods, and results in the field and discuss some latest developments.