Geometry Working Seminar

Anton Iliashenko and Spiro Kargiannis, Department of Pure Mathematics University of Waterloo

“First and Second variation of the Volume functional”

Abstract

In this talk we will derive the first and second variational formulas for the volume functional of a submanifold.

“Vector cross products and calibrations: some non-standard inner product space theory”

Abstract

We consider finite-dimensional real positive-definite inner product spaces and special struc- tures on them associated to the inner products. Specifically, we consider vector cross products, calibrations, and linear maps between inner product spaces that play nicely with these struc- tures. I will give some geometric motivation, but this talk will be basic linear algebra that could be taught in 245. So tell all your friends to come.

MC 5403