• Speaker: Alex Waldron, Michigan State University
• Title: $G_2$-instantons on the 7-sphere
• Date: 09/05/2019
• Time: 2:00 PM - 3:00 PM
• Place: C304 Wells Hall

I'll discuss a forthcoming paper studying families of $G_2$-instantons on $S^7$, focusing on those which are obtained by pulling back asd instantons on $S^4 $ via the quaternionic Hopf fibration. In the charge-1 case this yields a smooth and complete 15-dimensional family. The situation for higher charge is more complicated, but we are able to compute all the infinitesimal deformations.