Lelong Numbers of $m$-Subharmonic Functions Along Submanifolds
Time: 2022-05-31
Published By: Wenqiong Li
Speaker(s): Nicholas McCleerey (University of Michigan, Ann Arbor)
Time: 09:00-10:00 June 8, 2022
Venue: Online
Abstract:
Speaker:
Zoom:
Link: https://us02web.zoom.us/j/87470401536?pwd=d212KzN3SHFaRkVWSFdPZmY5Sk9tUT09
ID: 874 7040 1536
Password: 146008
We study the possible singularities of an $m$-subharmonic function $\varphi$ along a complex submanifold $V$ of a compact K\"ahler manifold, finding a maximal rate of growth for $\varphi$ which depends only on $m$ and $k$, the codimension of $V$. When $k < m$, we show that $\varphi$ has at worst log poles along $V$, and that the strength of these poles is moreover constant along $V$. This can be thought of as an analogue of Siu's theorem. This is joint work with Jianchun Chu.
Speaker:
Nicholas McCleerey is currently a Postdoctoral Assistant Professor at the University of Michigan, Ann Arbor. He completed his PhD at Northwestern University in 2020, under the supervision of Valentino Tosatti. His research focuses on PDEs and pluripotential theory, with a particular focus towards applications to complex geometry.
Zoom:
Link: https://us02web.zoom.us/j/87470401536?pwd=d212KzN3SHFaRkVWSFdPZmY5Sk9tUT09
ID: 874 7040 1536
Password: 146008
