![[Search]](/static/images/search.gif){kind=small}
![[A-Z Index]](/static/images/az.gif){kind=small}
![[Contact]](/static/images/contact.gif){kind=small}
![[University of Cambridge]](/static/images/identifier2.gif){kind=small}
![[Talks.cam]](/static/images/talkslogosmall.gif)
Friday 27 November 2015, 15:00-16:00
Min-max, phase transitions and minimal hypersurfaces.
- 👤 Speaker: Marco Guaraco (IMPA)
- 📅 Date & Time: Friday 27 November 2015, 15:00 - 16:00
- 📍 Venue: CMS, MR13
Abstract
We present a new min-max method for constructing embedded minimal hypersurfaces in an arbitrary closed manifold of any dimension. Our approach is variational, but it is substantially different from Almgren-Pitts theory since it is based on the strong correspondence between the theory of phase transitions and the theory of minimal hypersurfaces. As a preliminary, we use ideas of Pitts to extend to the case of critical points of any index, recent results of Tonegawa-Wickramasekera for stable phase transitions. We also study the correspondence of critical points between both theories from a “global” variational point of view in the case of those obtained by min-max. In particular, we compare our construction of a minimal hypersurface with that of Almgren-Pitts and its refinement by Simon-Smith in dimension 3.
Series This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.
Included in Lists
- All CMS events
- All Talks (aka the CURE list)
- bld31
- CMS Events
- CMS, MR13
- DPMMS info aggregator
- DPMMS lists
- DPMMS Lists
- DPMMS Pure Maths Seminar
- Fav
- Geometric Analysis & Partial Differential Equations seminar
- Hanchen DaDaDash
- Interested Talks
- My seminars
- School of Physical Sciences
Note: Ex-directory lists are not shown.