Some conformally invariant gap theorems for Bach-flat 4-manifolds

GAP Seminar

Meeting Details

For more information about this meeting, contact Allyson Borger, Nigel Higson, Ping Xu, Mathieu Stiénon.

Speaker: Siyi Zhang,, Notre Dame

Abstract: A. Chang, J. Qing, and P. Yang proved a conformal gap theorem for Bach-flat metrics with a round sphere as the model case more than ten years ago. In this talk, we extend this result to prove conformally invariant gap theorems for Bach-flat 4-manifolds with Fubini-Study metric on complex projective space and product metric on the product of spheres as model cases. An iteration argument plays an important role in the case of complex projective space and the convergence theory of Bach-flat metrics is the main analytical tool in the case of the product of spheres. If time permits, I will discuss some recent progress.


Room Reservation Information

Room Number: 106 McAllister

Date: 12/10/2019

Time: 2:30pm - 3:30pm