Calculus of Variations and Geometric Measure Theory

Minimal hypersurfaces with cylindrical tangent cones

Gábor Székelyhidi

created by scharrer on 07 Sep 2022

21 sep 2022 -- 14:00   [open in google calendar]

Agenda: Get-together (30 min), presentation Gábor Székelyhidi (60 min), questions and discussions (30 min).

Registration required for new participants. Please go to our seminar website (allow one work day for processing).

Abstract.

I will discuss recent results on minimal hypersurfaces with cylindrical tangent cones of the form $C \times \mathbf R$, where $C$ is a minimal quadratic cone, such as the Simons cone over $\mathbf S^3 \times \mathbf S^3$. I will talk about a uniqueness result for such tangent cones in a certain non-integrable situation, as well as a precise description of such minimal hypersurfaces near the singular set under a symmetry assumption.