Past Seminars- Colloquium

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  • Paul Yang
    Thu Dec 6, 2012
    4:00 pm
    There is a good deal of resemblence of CR geometry in dimension three with conformal geometry in dimension four. Exploiting this resemblence is quite fruitful. For instance, the presence of several conformally covariant operators in both geometries allows us to formulate correct conditions for the embedding problem as well as the CR Yamabe problem...
  • Mitchell Luskin
    Thu Nov 15, 2012
    4:00 pm
    Many materials problems require the accuracy of atomistic modeling in small regions, such as the neighborhood of a crack tip. However, these localized defects typically interact through long ranged elastic fields with a much larger region that cannot be computed atomistically. Many methods have recently been proposed to compute solutions to these...
  • Professor Mei-chi Shaw
    Thu May 24, 2012
    4:00 pm
      The Cauchy-Riemann operator for domains in a complex manifold is well understood for domains in complex spaces. However, much less is known for the solvability and regularity for the Cauchy-Riemann operator in a complex manifold which is not complex spaces  or Stein. Recently, some progress has been made for the L2...
  • George Papanicolaou
    Mon Apr 23, 2012
    4:00 pm
    I will review briefly some recent developments in financial mathematics research, put them in a historical context, and then discuss the modeling and analysis of systemic risk phenomena.
  • Kaushik Bhattacharya
    Thu Apr 19, 2012
    4:00 pm
      This talk will discuss the problem of finding effective laws that the govern the overall evolution of free boundaries propagating in a heterogeneous media.  This is motivated by a number of phenomena in mechanics and materials physics including phase boundaries, peeling of adhesive tape, dislocations, fracture and wetting fronts....
  • Professor Plamen Stefanov
    Thu Mar 1, 2012
    4:00 pm
      Thermoacoustic (TAT) and Photoacoustic Tomography (PAT) are examples of multiwave imaging methods allowing to combine the high imaging contrast of one wave (an electromagnetic or a photoacoustic one) with the high resolution of ultrasound. We present recent results obtained in collaboration with Gunther Uhlmann, Jianliang Qian and Hongkai...
  • Professor Zvi Artstein
    Thu Feb 16, 2012
    4:00 pm
    In this talk, which will be will be aimed at a general math audience, we shall overview an approach to analyze coupled slow-fast dynamics via Young measures, namely, via probability measure valued maps. The framework is ordinary differential equations, possibly controlled. We shall address the modeling issue, motivating examples, the mathematical...