Stable minimal hypersurfaces in $\R^{N+1+\ell}$ with singular set an arbitrary closed $K\subset\{0\}\times\R^{\ell}$

Abstract: With respect to a $C^{\infty}$ metric which is close to the standard Euclidean metric on $\R^{N+1+\ell}$, where $N\ge 7$ and $\ell\ge 1$ are given, we construct a class of embedded $(N+\ell)$-dimensional hypersurfaces (without boundary) which are minimal and strictly stable, and which have singular set equal to an arbitrary preassigned closed subset $K\subset\{0\}\times\R^{\ell}$.

analysis of PDEsdifferential geometry

Audience: researchers in the topic

( paper )

Comments: We encourage everyone to employ the virtual venue to interact (through chat, meeting, and boards) before and after the talk.

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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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