
Luis Caffarelli
Thu May 21, 2015
2:00 pm
I shall briefly describe the theory from the 1980's for the porous media equation, then discuss a joint work with Vazquez about the case where the pressure is a potential of the density and versions with memory effects.

Luis Caffarelli
Tue May 19, 2015
2:00 pm
I shall introduce local and integral diffusion processes, free boundary problems with and without memory, and discuss applications to American options and economics.

Fernando Marques
Fri Jan 23, 2015
3:00 pm
Minimal surfaces are among the most natural objects in Differential Geometry, and are fundamental tools in the solution of several important problems in mathematics. In these two lectures we will discuss the variational theory of minimal surfaces and describe recent applications to geometry and topology, as well as mention some future...

Fernando Marques
Thu Jan 22, 2015
4:00 pm
Minimal surfaces are among the most natural objects in Differential Geometry, and are fundamental tools in the solution of several important problems in mathematics. In these two lectures we will discuss the variational theory of minimal surfaces and describe recent applications to geometry and topology, as well as mention some future...

Emmanuel Candes
Thu Nov 6, 2014
4:00 pm
In many imaging problems such as Xray crystallography, detectors can only record the intensity or magnitude of a diffracted wave as opposed to measuring its phase. Phase retrieval concerns the recovery of an image from such phaseless information. Although this problem is in general combinatorially hard, it is of great importance...

Emmanuel Candes
Wed Nov 5, 2014
4:00 pm
This talk is about a curious phenomenon, which concerns the reliable estimation of principal components in the face of severe corruptions. Here, the scientist is given a data matrix which is the sum of an approximately lowrank matrix and a sparse matrix modeling corrupted entries. In addition, many entries may be missing. Hence, we have a blind...

Hendrik Lenstra
Thu Jan 9, 2014
4:00 pm
In 1956, the Dutch graphic artist M.C. Escher made an unusual
lithograph with the title `Print Gallery'. It shows a young man
viewing a print in an exhibition gallery. Amongst the buildings
depicted on the print, he sees paradoxically the very same gallery
that he is standing in. A lot is known about the way in which
Escher made his...