Friday, January 9, 2009 3:30 pm
-
4:30 pm
EST (GMT -05:00)
Jeu de Taquin and Wronskians of polynomials
| Speaker: | Kevin Purbhoo |
|---|---|
| Affiliation: | University of Waterloo |
| Room: | Mathematics & Computer Building (MC) 5158 |
Abstract:
Jeu de taquin was first introduced by Schutzenberger in the 1970s, and is now considered a fundamental construction in the combinatorics of Young tableaux. However, from the point of view of other branches of mathematics which use Young tableaux, (e.g. geometry, representation theory), it is not so clear why jeu de taquin is a natural operation. Surprisingly, jeu de taquin arises in a very natural way in studying the following problem:
Let
g(z)
be
a
polynomial.
What
can
we
say
about
the
set
of
d-tuples
of
polynomials
whose
Wronskian
equals
g(z)?
I
will
talk
about
some
of
the
history
of
this
problem,
and
explain
where
jeu
de
taquin
fits
in.