Differential Geometry Working Seminar

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

MC 5403