Past Seminars- Colloquium

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  • 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...
  • Professor Carl Pomerance
    Thu Feb 9, 2012
    4:00 pm
    What could be simpler than to study sums and products of integers? Well maybe it is not so simple since there is a major unsolved problem: for arbitrarily large numbers N, can there be sets of N positive integers where both the number of pairwise sums and pairwise product is less than N^{3/2}? No one knows. This talk is directed at another...
  • Professor Erwin Bolthausen
    Thu Jan 26, 2012
    4:00 pm