Kakeya sets in the finite plane

Xander Faber will give the talk on Monday, October 11 at 4:15 in Math 528. This lecture will be open to all.

Abstract: Let F_q be the finite field with q elements. A finite field Kakeya set K is a subset of (F_q)ⁿ that contains a line with each slope. This condition forces a lot of points to be in the set, and we'll investigate just how many in the case that n=2. If time permits, I'll briefly sketch some details about the original Kakeya problem which motivated its finite analogue.

Return to the Elementary Methods Seminar Home Page.