Jerusalem Mathematics Colloquium

Thursday, 15th May 2008, 4:00 pm
Mathematics Building, Lecture Hall 2

Aner Shalev

"A proof of Ore's Conjecture"

Abstract: A famous longstanding conjecture of Ore, posed in 1951, states that every element of a (nonabelian) finite simple group is a commutator. Partial results were obtained by many people. Very recently, in joint work with Liebeck, O'Brien and Tiep, we have proved the conjecture in full.

In the talk I will sketch the proof, which combines representation theory with a complicated induction, where the base for the induction is itself highly challenging; it required methods from computational group theory and 3 years of CPU time.

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

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