G_2-instantons on the 7-sphere

GAUGE-TOPOLOGY-SYMPLECTIC

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October 25, 2019 3:30 pm - 4:30 pm

Science Center 507

Website:https://scholar.harvard.edu/gerig/seminar

Address: 1 Oxford Street, Cambridge, MA 02138 USA

Speaker:

Alex Waldron - Michigan State

Abstract:

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.