Geometry Working Seminar

Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo

"Variational characterization of instanton-submanifolds"

There are two classes of calibrated submanifolds. The "instantons" are those whose tangent spaces are invariant under a vector cross product. In the U(m) and G2 cases, we show that these submanifolds can be characterized as being critical with respect to variations of the ambient metric in the direction of closed forms. The Spin7 case seems to be different. This is a continuation of the last talk I gave, based on forthcoming joint work with Daren Cheng and Jesse Madnick.

Zoom meeting: contact Spiro Karigiannis (karigiannis@uwaterloo.ca) or Ragini Singhal (r4singha@uwaterloo.ca) for link