COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Junior Geometry Seminar > Tangent Cones and Minimal Hypersurface Singularities

## Tangent Cones and Minimal Hypersurface SingularitiesAdd to your list(s) Download to your calendar using vCal - Paul Minter (University of Cambridge)
- Friday 15 November 2019, 16:00-17:00
- MR13.
If you have a question about this talk, please contact Nils Prigge. Critical points of the area functional are known as minimal surfaces, and in the case of graphs over domains in Euclidean space they satisfy the so-called minimal surface equation. In high dimensions it is possible for area minimising surfaces to be singular, as illustrated by Simons cone. In this talk we will discuss several results surrounding the singular set of minimal hypersurfaces, including Allard’s regularity theorem and dimension bounds. To establish bounds on the dimension of the singular set we will study the possible tangent cones to the hypersurface, which are formed by taking weak limits when “blowing up” the hypersurface at a given point. This is done by establishing monotonicity formulae, compactness results, and the non-existence of certain cones in low dimensions. Time permitting, we will mention how such techniques can be used to prove the Bernstein theorem, which tells us that entire minimal graphs in dimensions less than 8 are in fact planar. 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. |
## Other listsCambridge Interdisciplinary Performance Network IfM Buns Talk Motivational speak on ghor jamai## Other talksIdentifying and responding to crisis after vaccination Magnetic field amplification in protoneutron stars Departmental Tea Club Seminar - The context-dependence of Ras biology Statistics Clinic Michaelmas 2019 - IV You Can Achieve Anything - with a Laser Aging, Intelligence, and Slowing of Thought |