Date	Speaker	Title	Abstract
February 5th	Camillo de Lellis (IAS) CANCELED	Boundary regularity for area minimizing surfaces and a question of Almgren	Consider an area minimizing oriented surface which has a smooth boundary $\Gamma$ of multiplicity $1$ in some smooth Riemannian ambient manifold $\Sigma$. The celebrated work of Federer and Fleming guarantees the existence of one such minimizer in a suitable class of generalized oriented surfaces, called integral currents. 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''.
March 1st at 3 pm In Gilman 50 Note Special Time and Location	Willian Minicozzi (MIT)	Uniqueness of blow ups for geometric flow
April 2nd	TBA (TBA)	TBA
May 7th	Matt Baker (Georgia Tech)	TBA

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