Jerusalem Mathematics Colloquium

Thursday, 4th May 2006, 4:00 pm
Mathematics Building, Lecture Hall 2

Aner Shalev
(Hebrew University)

"A non-commutative Waring type theorem"

Abstract: Hilbert's solution to Waring Problem shows that for every k>0 there is a number g(k) such that every natural number is a sum of g(k) k-th powers. We study problems of similar flavor in non-commutative contexts such as permutation groups and matrix groups. Our proofs involve probabilistic arguments and representation theory.

Light refreshments will be served in the faculty lounge at 3:30.

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