Talk #1 (9:30am-10:45am): Catalina Quincosis Martínez, Department of Pure Mathematics, University of Waterloo
Title:
One
way
to
tell
a
simple
polytope
from
its
graph
Abstract:
The
Perles
conjecture
is
a
question
about
reconstruction
and
representation
of
convex
polytopes.
In
this
talk,
we
will
focus
on
the
result
for
simple
polytopes,
presenting
a
short
and
algorithmic
proof
due
to
Gil
Kalai.
The
reconstruction
of
a
simple
polytope
from
its
graph
was
first
done
by
Blind
and
Mani,
and
recent
work
has
been
aimed
at
finding
a
polynomial-time
algorithm
to
accomplish
it.
Talk
#2
(11:00am-12:15pm):
Paul
Mcauley,
Department
of
Pure
Mathematics,
University
of
Waterloo
Title:
Lifting
the
Metric
into
the
Tangent
Space
Abstract:
For
a
Riemannian
manifold
(M,g),
we
will
look
at
splitting
the
tangent
space
of
TM
into
two
parts,
the
vertical
space
and
the
horizontal
space.
We
will
then
look
at
a
metric
on
TM
induced
by
g
which
makes
the
vertical
and
horizontal
spaces
orthogonal.
We
will
also
investigate
the
Levi-Civita
connection
of
this
metric.
MC 5403