# Homogeneous Monge-Ampere equations and canonical tubular neighbourhoods in K\"ahler geometry

28 April 2014
14:15
to
15:30
David Witt Nystrom (Cambridge)
Abstract
<p><span>By solving the Homogeneous Monge-Ampere equation on the deformation to the normal cone of a complex submanifold of a Kahler manifold, we get a canonical tubular neighbourhood adapted to both the holomorphic and the symplectic structure. If time permits I will describe an application, namely an optimal regularity result for certain naturally defined plurisubharmonic envelopes.</span></p>
• Geometry and Analysis Seminar