G_2-instantons on the 7-sphere

Name: G_2-instantons on the 7-sphere
Start: 2019-10-25T15:30:00-04:00
End: 2019-10-25T16:30:00-04:00
Location: Science Center 507

SEMINARS: GAUGE THEORY AND TOPOLOGY, SEMINARS: SYMPLECTIC GEOMETRY

When: October 25, 2019

3:30 pm - 4:30 pm

Where: Science Center 507

Address: 1 Oxford Street, Cambridge, MA 02138, United States

Speaker: Alex Waldron - Michigan State

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 the higher charge is more complicated, but we are able to compute all the infinitesimal deformations.