Analysis Seminar

Title: Weak solutions of complex Hessian equations on compact Hermitian manifolds
Speaker: Slawomir Kolodziej
Speaker Info: Jagiellonian University
Brief Description:
Special Note:

This is joint work with Cuong Ngoc Nguyen. Let (X,ω) be a compact Hermitian manifold of complex dimension n. We prove the existence of weak solutions to the complex Hessian equation

(ω + ddcφ)k∧ωn-k = cfωn,

where 0≤f∈ Lp(X,ωn), p> n/k, and u so called (ω, k) subharmonic function. For smooth, positive data the equation has recently been solved by Szekelyhidi and Zhang. We also obtain stability estimates for weak solutions.

Date: Monday, April 03, 2017
Time: 4:00pm
Where: Lunt 103
Contact Person: Valentino Tosatti
Contact email: tosatti@math.northwestern.edu
Contact Phone:
Copyright © 1997-2024 Department of Mathematics, Northwestern University.