Decay estimates for the quadratic tilt-excess of integral varifolds

This talk concerns integral varifolds (i.e. generalised submanifolds) of arbitrary dimension and codimension in an open subset of Euclidean space with its first variation of area given by either a Radon measure or a function in some Lebesgue space. In most cases, optimal pointwise decay results for the quadratic tilt-excess (i.e. the mean oscillation of the tangent planes measured in L^2) are established for those varifolds.

The viewpoint of the talk will be that of elliptic partial differential equations.