Past Seminars- Colloquium

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  • R. Carmona
    Thu Apr 2, 2015
    4:00 pm
    After discussing a few examples of herding and flocking, we review the mean field game paradigm as introduced by Lasry and Lions. Using a probabilistic reformulation of the problem, we demonstrate how the solutions of these models can be identified with solutions of forward - backward stochastic differential equations (FBSDEs) of McKean-Vlasov...
  • Alan Newell
    Thu Mar 5, 2015
    4:00 pm
    Phyllotaxis, the arrangement of phylla (leaves, bracts, seeds) near the shoot apical meristems of plants has intrigued and mystified natural scientists for over two thousand years. It is surprising that only within the last two decades have quantitative explanations emerged that describe the wonderful architectures which are observed. I will give...
  • Xiaojun Huang
    Thu Feb 26, 2015
    4:00 pm
    We discuss the global property of a local holomorphic isometry into the product of projective spaces. We prove global extension and rigidity properties for such a map when the source is a Hermitian symmetric space  of compact type. Our work is along the lines of the previous work of Calabi, Clozel-Ullmo and Mok. This is a joint work with Yuan...
  • Sijue Wu
    Fri Feb 6, 2015
    4:00 pm
    We consider the two-dimensional water wave problem in the case where the free interface of the fluid meets a vertical wall at a possibly non-trivial angle; our problem also covers interfaces with angled crests. We assume that the fluid is inviscid, incompressible, and irrotational, with no surface tension and with air density zero. We construct a...
  • Emmanuel Candes
    Thu Nov 6, 2014
    4:00 pm
    In many imaging problems such as X-ray 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...
  • Mathias Fink
    Thu Oct 30, 2014
    3:30 pm
    The origin of diffraction limit in wave physics, and the way to overcome it, can be revisited using the time-reversal mirror concept. According to time-reversal symmetry, a broadband wave can be focused both in time and space regardless of the complexity of a scattering medium. In a complex environment a time-reversal mirror acts as an antenna...
  • Herbert Amann
    Thu Oct 23, 2014
    4:00 pm