Talk #1 (9:30-10:45): Tommaso Pacini, University of Torino, live via Zoom
Title:
One
theorem,
three
points
of
view
Abstract:
Consider
the
standard
2-sphere.
Rotations
around
the
z-axis
generate
a
family
of
orbits,
containing
a
unique
maximal
orbit:
the
equator
(a
geodesic).
The
2-sphere
is
Kahler,
and
rotations
are
isometries.
It
turns
out
that
the
above
picture
generalizes
to
this
broad
context
(which
includes
for
example
toric
manifolds),
leading
to
an
interesting
interplay
between
(i)
curvature
and
volume,
(ii)
potential
theory
and
Riemannian
submersions,
(iii)
Riemannian,
complex
and
symplectic
geometry.
We
will
also
discuss
extensions
to
the
recent
potential
theory
on
calibrated
manifolds
due
to
Harvey-Lawson.
Talk
#2
(11:00-12:15):
Amanda
Petcu,
Department
of
Pure
Mathematics,
University
of
Waterloo
Title: An
Introduction
to
Kahler
Geometry:
Part
1
Abstract:
This
talk
will
focus
on
the
background
knowledge
needed
to
begin
studying
Kahler
Geometry.
In
particular
we
will
focus
on
building
knowledge
of
complex
geometry.
We
will
introduce
complex
manifolds
and
almost
complex
manifolds,
as
well
as
holomorphic
forms
and
vector
fields
and,
holomorphic
vector
bundles.
We
will
examine
a
few
examples
and
theorems
of
integrable
structures
and
holomorphic
structures.
Lastly,
we
might
even
talk
about
Kahler
metrics
if
I
get
to
it
in
time.
MC 5403