Wednesday, October 7, 2015 3:30 pm
-
3:30 pm
EDT (GMT -04:00)
Raymond Cheng, Department of Pure Mathematics, University of Waterloo
"Hodge Decomposition and Kahler Manifolds"
After
a
spring
of
bundles,
the
autumn
will
be
a
study
of
forms,
punctuated
with
periods
of
complex
manifolds.
Before
navigating
the
deep
theory
of
Hodge
structures
and
their
variations,
however,
we
should
get
familiar
with
the
classical
theorems
which
started
off
the
subject:
the
Hodge
decomposition
of
de
Rham
cohomology;
the
hard
Lefschetz
Theorem;
the
Riemann
bilinear
relations;
and
the
various
consequences
of
these
results
on
Kahler
manifolds.
This
talk
will
be
primarily
focused
on
a
discussion
of
the
Hodge
decomposition
theorem
and
its
immediate
consequences
for
Kahler
manifolds.
MC
5479