Discrete CATS Seminar
U N I V E R S I T Y   O F   K E N T U C K Y
WHERE CATS =
845 PATTERSON OFFICE TOWER
2008 - 2009
"A bijective proof of a partition conjecture due to Ciocan"
Monday, March 23, 2009
4:00 pm, 845 Patterson Office Tower
Recently, Ciocan posed a conjecture that states that a certain sum
over the squares of a Young diagram of a partition depends only on the
size of the partition. I will explain how to interpret this conjecture
as a polynomial identity over some commutative variables, and then
present a bijective proof of this identity. I will also give a
probabilistic interpretation of the result that is slightly
reminiscent of the Greene-Nijenhuis-Wilf proof of the hook length
formula. This is joint work with Ciocan and Pak.