DIPARTIMENTO DI MATEMATICA
UNIVERSITÀ DEGLI STUDI DI ROMA ‘TOR VERGATA’
Via della Ricerca Scientifica 1 – 00133 ROMA
COLLOQUIA DI DIPARTIMENTO 2009
Richard Stanley
M.I.T.
Increasing and decreasing subsequences
Lunedì 25 maggio 2009 ore 14.30
Aula ‘Dal Passo’ Dipartimento di Matematica
Abstract: An increasing subsequence of a permutation a1, a2, ..., an of 1,2,...,n is a subsequence b1 < ... < bk of
elements that occur in increasing order. Similarly define decreasing subsequence. We will survey the theory of
increasing and decreasing subsequences. Topics will include the connection with Young tableaux and the
Robinson-Schensted-Knuth (RSK) algorithm, the expected length is(w) of the longest increasing subsequence of
a random permutation w of 1,2...,n (due to Logan-Shepp and Vershik-Kerov), the limiting distribution of is(w)
(due to Baik-Deift-Johansson), a connection with random matrices, and a variation concerned with alternating
subsequences.
Organizzazione Colloquia:
Elisabetta Strickland, [email protected] tel 06 7259 4683
Chairman della seduta: Francesco Brenti