Daniel Erman : Kakeya problems over finite fields

Posted by Kevin Tucker , part of the Algebraic Geometry Seminar.

At

March 11, 2015, 1 p.m.

In

SEO 1227

Abstract

The Kakeya Needle Problem has its origins in harmonic analysis, but it has led to a number of interesting related questions about algebra and geometry over finite fields. I’ll first give background on this famous problem. Then I’ll talk about recent work of myself and Jordan Ellenberg which uses degeneration techniques to make progress on some of the related algebraic questions.