University of Cambridge > > Discrete Analysis Seminar > Difference sets and nonnegative exponential sums

Difference sets and nonnegative exponential sums

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Boris Bukh.

Given a prescribed subset R of some Abelian group, what is the maximal cardinality of a set A such that the difference set A-A lies in R? Several problems from strikingly different parts of mathematics fit into this general setting, including sphere-packings, number theoretical problems and mutually unbiased bases. In this talk I will describe a general method (due to Delsarte) involving nonnegative exponential sums which leads to upper bounds on the cardinality (or density) of such sets A. Possible applications will be mentioned. Some of the material is joint work with Imre Z. Ruzsa.

This talk is part of the Discrete Analysis Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2024, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity