Gábor Székelyhidi will talk on 2nd March at 1.45pm UK time, 2.45pm Brussels time. Gábor’s title is “Uniqueness of certain cylindrical tangent cones” and his abstract is below.
Uniqueness of certain cylindrical tangent cones
Leon Simon showed that if an area minimizing hypersurface
admits a cylindrical tangent cone of the form C x R, then this tangent
cone is unique for a large class of minimal cones C. One of the
hypotheses in this result is that C x R is integrable and this
excludes the case when C is the Simons cone over S^3 x S^3. The main
result in this talk is that the uniqueness of the tangent cone holds
in this case too. The new difficulty in this non-integrable situation
is to develop a version of the Lojasiewicz-Simon inequality that can
be used in the setting of tangent cones with non-isolated
singularities.