Solitons in Bryant's Laplacian flow. Opening talk of 2021 Simons Collaboration on Special Holonomy in Geometry, Analysis and Physics Annual Meeting. Simons Foundation. September 9, 2021 - September 10, 2021

International Meeting or Conference

I will describe a geometric flow on 3-forms, due to Robert Bryant, called Laplacian flow that aims to produce Riemannian manifolds with holonomy group G2. My talk will concentrate on certain special solutions to Laplacian flow called solitons: in particular I will describe a recent construction of non-compact shrinking, steady and expanding solitons in Laplacian flow all with asymptotically conical geometry. I will also describe an explicit complete steady soliton with one end, exponential volume growth and asymptotically constant negative scalar curvature.

Service Performed By

Date

  • September 9, 2021 - September 10, 2021

Service or Event Name

  • Opening talk of 2021 Simons Collaboration on Special Holonomy in Geometry, Analysis and Physics Annual Meeting

Host Organization

  • Simons Foundation

Location or Venue

  • Simons Foundation, Manhattan