Talk
#1
(9:30-10:30):
Spiro
Karigiannis,
Department
of
Pure
Mathematics,
University
of
Waterloo
Title:
Calibrated
subbundles
of
R^7,
part
II
Abstract:
I
will
continue,
and
hopefully
conclude,
the
discussion
of
calibrated
subbundles
in
R^7.
We
will
quickly
review
the
previous
talk
and
then
focus
on
the
coassociative
case,
which
corresponds
to
negative
superminimal
surfaces.
Talk
#2
(10:45-11:00):
Spencer
Whitehead,
Department
of
Pure
Mathematics,
University
of
Waterloo
Title:
Generalized
Pythagorean
Lutes
Abstract:
The
lute
of
Pythagoras
is
a
well-known
self-similar
pattern
filling
the
plane
with
regular
pentagons
and
pentagrams.
This
talk
describes
a
generalization
to
higher
dimensions
and
classification
of
such
objects,
yielding
lutes
corresponding
to
the
dodecahedron
in
three
dimensions
and
the
120-cell
in
four
dimensions.
A
semi-formal
discussion
of
these
results
is
presented,
together
with
Zome
models
and
computer
images
of
the
new
lutes.
Talk
#3
(11:15-12:30):
Anton
Iliashenko,
Department
of
Pure
Mathematics,
University
of
Waterloo
Title:
Instantons
on
Flat
Spaces
Abstract:
This
talk
is
based
on
the
paper
by
Jason
D.
Lotay
and
Thomas
Bruun
Madsen
"Instantons
on
Flat
Space:
Explicit
Constructions".
Currently,
the
idea
of
generalisation
of
the
(anti-)self-duality
conditions
to
higher
dimensions
is
getting
a
lot
of
attention.
In
this
talk,
we
take
the
basic
(or
BPST)
instanton
on
R^4
with
its
flat
hyperkähler
structure
and
show
that
it
has
natural
generalisations
to
R^7
and
R^8
viewed
as
flat
G2-
and
Spin7-manifolds,
respectively.
MC 5403