Seminar in Mathematical Modeling and Analysis - Nick McCleerey

The seminars in Mathematical Modeling and Analysis are aimed at researchers, employees, and students.

This week's seminar is given by Nick McCleerey, Purdue University.

Title: The Eigenvalue Problem for the Complex Hessian Operator on m-Pseudoconvex Manifolds

Abstract: We establish $C^{1,1}$-regularity and uniqueness of the first eigenfunction of the complex Hessian operator on strongly $m$-pseudoconvex manifolds, along with a variational formula for the first eigenvalue. From these results, we derive a number of applications, including a bifurcation-type theorem and geometric bounds for the eigenvalue.

Contact Antti Perälä to receive the Zoom link.