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Gluing constructions for minimal surfaces and self-shrinkers
Geometry/Topology| Speaker: | Nicolaos Kapouleas, Brown University |
| Location: | 2112 MSB |
| Start time: | Tue, Apr 10 2012, 3:10PM |
Description
In the first part of the talk I will discuss doubling constructions.
In particular I will discuss in some detail a recent doubling
construction for an equatorial two-sphere in the round three-sphere,
and also potential generalizations for self-shrinkers of the Mean
Curvature flow and doubling constructions in higher dimensions.
In the second part of the talk I will briefly discuss the
current understanding of desingularization constructions for
minimal surfaces and self-shrinkers.
In the third and final part I will discuss open uniqueness questions
for closed embedded minimal surfaces in the round three-sphere
inspired by the above constructions.