Updated information on "A
conjectured combinatorial interpretation of the normalized irreducible
character values of the symmetric group"
- The conjecture of this paper was proved by Valentin Féray at
a generalization and some applications due to Piotr Sniady, click here.
Another application was given by Féray at arXiv:0710.5885,
viz., a proof of the positivity of the coefficients of Kerov's
character polynomials. A generalization
(still unproved) of the conjecture to Jack polynomials
was given by Michelle Lassalle.