# Jerusalem Mathematics Colloquium

Thursday, 15th May 2008, 4:00 pm

Mathematics Building, Lecture Hall 2

##

Aner Shalev

(HU)

"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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