Minimal hypersurfaces with cylindrical tangent cones

Abstract: I will discuss recent results on minimal hypersurfaces with cylindrical tangent cones of the form $C \times \mathbb R$, where $C$ is a minimal quadratic cone, such as the Simons cone over $\mathbb S^3 \times \mathbb S^3$. 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.

analysis of PDEsdifferential geometry

Audience: researchers in the topic

Comments: Get-together (30 min) $\cdot$ presentation Gábor Székelyhidi (60 min) $\cdot$ questions and discussions (30 min).

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NCTS international Geometric Measure Theory seminar

Series comments: We envisage an event built around virtual presentations on progress in geometric measure theory by external speakers. Every researcher is free to register as a participant and thus gain access to a virtual facility which is complete with lobby, lecture hall, and areas with boards for discussion. Thus, it shall recreate the exchange possibilities found at international conferences.

Focus: regularity and singularity theories for submanifolds of Riemannian manifolds and some of its applications.

Frequency: one presentation every other month.

Registration: required for new participants, go to the seminar website (allow at least one working day for processing).

Virtual venue: HyHyve space NCTS iGMT seminar (only for registered participants, opened one hour before the events).

You might want to consult the description of the premises and instructions.

Former organiser: Guido De Philippis (till March 2022).

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