Distribution of dot products in vector spaces in finite fields and applications to problems in additive number theory and geometric combinatorics
Speaker:
Alex Iosevich, University of Missouri-Columbia and University of Rochester
Date and Time:
Wednesday, April 9, 2008 - 11:00am to 11:45am
Location:
Fields Institute, Room 230
Abstract:
We shall discuss some recent results on the distribution of dot products in vector spaces over finite fields and will use them to deduce sum-product estimate and results related to the Erdos distance problem. We shall also make explicit connections with the extension theory for the Fourier transform.
