Thursday, May 3, 2018 11:30 am
-
11:30 am
EDT (GMT -04:00)
Title: An elementary approach to the quasipolynomiality of the Kronecker coefficients
| Speaker: | Marni Mishna |
| Affiliation: | Simon Fraser University |
| Room: | MC 6486 |
Abstract:
Our
focus
here
is
the
Kronecker
function
whose
inputs
are
three partitions
of
bounded
length,
and
whose
output
is
the
corresponding
Kronecker
coefficient.
The
piecewise
quasipolynomiality
of
this
function
has
been
the
center
of
much
interest.
This
phenomenon
is
a
consequence of
the
powerful
[Q,
R]=
0
theorem
of
Meinrenken-Sjamaar
[MS99]
on
the piecewise
quasipolynomial
behavior
of
multiplicity
functions. This
talk
will
describe
an
elementary
approach
to
determining
this property,
and
discuss
how
to
effectively
compute
coefficients.
This
is work
in
progress
with
Mercedes
Rosas
and
Sheila
Sundaram.