Seminar Event Detail

Complex Analysis, Dynamics and Geometry

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

Event Organizer:     


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