|Date: Monday, March 21, 2022
Location: 3096 East Hall (5:00 PM to 6:00 PM)
Title: Lelong numbers of m-subharmonic functions along submanifolds
Abstract: We study singularities of m-subharmonic functions along compact complex submanifolds of Kaeahler manifolds, finding a maximal rate of growth which depends only on m and the codimension of the submanifold. When the codimension is strictly less than m, we recover a logarithmic rate of growth which must moreover be constant along the submanifold, analogous to Siu's Theorem for psh functions. This is joint work with Jianchun Chu.
Speaker: Nicholas McCleerey
Institution: University of Michigan