Department of Mathematics

Geometry and Topology

  •  Ákos Nagy, Duke University
  •  The Asymptotic Geometry of G_2 monopoles
  •  02/13/2020
  •  2:30 PM - 3:30 PM
  •  C304 Wells Hall

G_2 monopoles are special solutions of the Yang-Mills-Higgs equation on G_2 manifolds, and Donaldson and Segal conjectures that one can construct invariants of noncompact G_2 manifolds by counting G_2 monopoles. One of the first steps of achieving this goal is understanding the analytic behavior of these monopoles. In this talk, I introduce the proper analytic setup for the problem, and present our results about the asymptotic form of G_2 monopoles on Asymptotically Conical manifolds with structure group being SU(2). If time permits, I also talk about our further plans in this project, in particular: 1. Generalizations of these results to manifolds with fibered end and higher rank gauge groups. 2. A glue-in construction of monopoles with ``large mass''. This is a join project with Goncalo Oliveira (UFF, Brazil).



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science