ΠΑΝΕΠΙΣΤΗΜΙΟ ΚΡΗΤΗΣ - ΤΜΗΜΑ ΜΑΘΗΜΑΤΙΚΩΝ
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Difference sets, Fourier analysis, and Delsarte's method

Mate Matolcsi
Renyi Institute

17 Ιουνίου 2009, Ζ301, 18:15

We will discuss a general scheme with applications to several problems from strikingly different parts of mathematics. The scheme is as follows: a symmetric subset $A$ of a compact Abelian group $G$ is given ($A$ will be called the "forbidden" set). What is the maximal possible number of elements of a set $B$ in $G$ such that all differences $b_1-b_2$ do not belong to $A$? Possible applications range through sphere-packings, mutually unbiased bases and Littlewood's conjecture.

http://www.math.uoc.gr/~ analysis-seminar