Tuesday Geometry Working seminar

Tuesday, November 11, 2014 1:00 pm - 1:00 pm EST (GMT -05:00)

Spiro Karigiannis, Pure Mathematics, University of Waterloo

"Intro to Calibrations, Instantons, and Branes"

I will introduce the concept of a calibration on a Riemannian manifold and its associated calibrated submanifolds. These are special minimal submanifolds defined by a system of first order, often fully nonlinear, partial differential equations. Following a proof of the fundamental theorem of calibrated geometry, and a brief discussion of examples, I will present the approach of Leung-Lee in the language of instantons and branes on manifolds with vector cross product.