Time: Tuesdays 5-6 pm

Location: Gilman 17

Organizer(s): Jacob Bernstein, David Savitt and Chris Sogge

Date |
Speaker |
Title |
Abstract |

(IAS) CANCELED |
Boundary regularity for area minimizing surfaces and a question of Almgren |
In codimension $1$ a famous work of Hardt and Simon gives full regularity of this object at the boundary, which is thus a classical oriented hypersurface (with boundary) in a neighborhood of $\Gamma$. In higher codimension the work of Allard can be used to conclude regularity under some geometric assumptions, but for general smooth $\Gamma$ even the existence of a single boundary regular point was open. In a recent joint work with Guido De Philippis, Jonas Hirsch and Annalisa Massaccesi we show that boundary regular points are always dense in $\Gamma$. This has some interesting consequences on the structure of the minimizer and in particular it allows us to answer positively to a question raised by Almgren at the end of his `` Big regularity paper''. | |

In Gilman 50 Note Special Time and Location |
(MIT) |
Uniqueness of blow ups for geometric flow | |

(TBA) |
TBA | ||

(Georgia Tech) |
TBA |

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