Identifying Promising Initial Data for Geometric Flows of G2-Structures 
 

Aaron Kennon, University of California - Santa Barbara

Abstract: A primary goal motivating the study of geometric flows of G2-structures is to better understand which 7-manifolds admit certain types of these metrics. Of particular interest are the cases of G2-holonomy metrics and nearly-parallel G2-structures, both of which are intricately related to broader themes in differential geometry. I will survey what is known for specific promising flows of G2-structures, what would be desirable to prove, and the relevance of some of my work for determining when these flows behave well analytically and flow towards these desired geometric objects.

Please contact Prof. Ao Sun for the Zoom Link and Passcode.