Tuesday, October 4, 2022 2:00 pm
-
2:00 pm
EDT (GMT -04:00)
Xuemiao
Chen,
Department
of
Pure
Mathematics,
University
of
Waterloo
“Restriction
of
slope
semi-stable
bundles”
Given
a
slope
semi-stable
bundle
over
a
projective
manifold,
a
classical
theorem
by
Mehta
and
Ramanathan
states
that
its
restriction
to
a
generic
high
degree
hyper-surface
is
still
slope
semi-stable.
This
plays
a
key
role
in
Donaldson’s
proof
for
the
existence
of
Hermitian-Einstein
metrics
for
stable
vector
bundles
over
projective
manifolds.
We
will
discuss
Flenner’s
proof
of
the
restriction
theorem,
which
could
give
an
effective
estimate
about
how
large
the
degree
is
needed.
MC 5403