Friday, March 9, 2012 3:30 pm
-
4:30 pm
EST (GMT -05:00)
An extermal problem in finite geometry
| Speaker: | Jim Geelen |
|---|---|
| Affiliation: | University of Waterloo |
| Room: | Mathematics & Computer Building (MC) 5158 |
Abstract:
For
a
given
restriction
$H$
of
PG$(m-1,q)$
and
any
$n>m$,
we
consider
the
maximum
number
of
points
in
PG$(n-1,q)$
not
containing
a
copy
of
$H$.
We
prove
a
striking
analogue
of
the
Erdös-Stone
Theorem.
The
proof
is
surprisingly
easy,
but
relies
on
a
very
deep
result
related
to
the
density
version
of
the
multidimensional
Hales-Jewett
theorem.
This
is
joint
work
with
Peter
Nelson.