Tuesday, October 8, 2013 2:30 pm
-
2:30 pm
EDT (GMT -04:00)
Adam Dor-On, University of Waterloo
"Kadison-Singer V"
We
embark
on
a
more
in-depth
survey
of
Interlacing
Families
II
by
Marcus,
Spielman
and
Srivastava.
We
begin
by
showing
how
the
main
theorem
of
the
paper
(Theorem
1.2)
implies
corollary
1.3
which
immediately
implies
$(KS_2)$.
Later
on,
we
move
to
section
4
and
show
that
the
polynomial
summands
appearing
in
a
mixed
(expected)
characteristic
polynomial
(associated
to
$m$
random
vectors)
forms
an
interlacing
family.
Time
permitting,
we
will
also
give
a
proof
of
Lemma
3.4,
concluding
our
discussion
of
section
3.1.