Thursday, March 24, 2016 2:00 pm
-
2:00 pm
EDT (GMT -04:00)
Title: Representation stability for the cohomology of arrangements
Speaker: | Christin Bibby |
Affiliation: | University of Western Ontario |
Room: | MC 6486 |
Abstract:
From
a
root
system,
one
may
consider
the
arrangement
of
reflecting
hyperplanes,
as
well
as
its
toric
and
elliptic
analogues.
The
corresponding
Weyl
group
acts
on
the
complement
of
the
arrangement
and
hence
on
its
cohomology.
We
consider
a
sequence
of
linear,
toric,
or
elliptic
arrangements
which
arise
from
a
family
of
root
systems
of
type
A,
B,
C,
or
D,
and
we
study
the
stability
of
the
rational
cohomology
as
a
sequence
of
Weyl
group
representations.
Our
techniques
combine
a
Leray
spectral
sequence
argument
similar
to
that
of
Church
in
the
type
A
case
along
with
$FI_W$-module
theory
which
Wilson
developed
and
used
in
the
linear
case.