The Allen-Cahn construction of minimal hypersurfaces

Add to your list(s) Download to your calendar using vCal

• Fritz Hiesmayr (Cambridge)
• Friday 28 April 2017, 15:00-16:00
• MR13.

If you have a question about this talk, please contact cbz20.

The existence of embedded minimal hypersurfaces is a question that eluded geometric analysts for the better part of the twentieth century; it was eventually settled in 1981 via the so-called Almgren-Pitts construction. This construction on min-max arguments for a suitably enlarged space of hypersurfaces, and relies on machinery from geometric measure theory.

My talk will instead focus on a more recent approach to the problem, where one constructs minimal hypersurfaces that arise from the level sets of solutions to an elliptic PDE , called the Allen-Cahn equation. I will present an overview of this theory that requires no prior knowledge of geometric analysis.

This talk is part of the Junior Geometry Seminar series.

This talk is included in these lists:

• All CMS events
• CMS Events
• DPMMS info aggregator
• Hanchen DaDaDash
• Interested Talks
• Junior Geometry Seminar
• MR13
• bld31

Note that ex-directory lists are not shown.