Past Seminars

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  • Prof. Shaoqiang Tang
    Mon Oct 25, 2004
    4:00 pm
    Computer simulations of charge transport in semiconductor devices (like diodes and micro-chips) are used by the semiconductor industry as a tool for reducing the cost of developing new devices and new process technologies. At the scale of micron or sub-micron, the semiconductor Boltzmann equation is the most exact model. In order to alleviate...
  • Peter Mueller
    Thu Oct 21, 2004
    2:00 pm
    Bond-percolation graphs are random subgraphs of the d-dimensional integer lattice generated by a standard Bernoulli bond-percolation process. The associated graph Laplacians, subject to Dirichlet or Neumann conditions at cluster boundaries, represent bounded, self-adjoint, ergodic random operators. They possess almost surely the non-random...
  • Mr. Doug. Haessig
    Tue Oct 19, 2004
    3:00 pm
    Let X be a projective variety over a finite field with function field K(X). Let Y be a projective variety over K(X). We may associate to this a height zeta function. In this talk, we will recall some facts about these functions and provide some new results and research directions.
  • Professor Bernie Russo
    Tue Oct 19, 2004
    3:00 pm
    The operator spaces $H_n^k$ $1\le k\le n$, generalizing the row and column Hilbert spaces, and arising in the authors' previous study of contractively complemented subspaces of $C^*$-algebras, are shown to be homogeneous and completely isometric to a space of creation operators on a subspace of the anti-symmetric Fock space. As an application, the...
  • Vladimir Baranovsky
    Tue Oct 19, 2004
    2:00 pm
    Abstract: I intend to give an overview of various cyclic homology theories which allow one to recover the topological (or crystalline) cohomology of a variety from the ring of functions on it (or the category of vector bundles). The talk should be accessible to graduate students with basic background in topology.
  • Evelyn Manalo Lunasin
    Tue Oct 19, 2004
    1:00 pm
  • Professor Martin Barlow
    Tue Oct 19, 2004
    11:00 am
    This talk will discuss random walks on percolation clusters. The first case is supercritical ($p>p_c$) bond percolation in $Z^d$. Here one can obtain Aronsen type bounds on the transition probabilities, using analytic methods based on ideas of Nash. For the critical case ($p=p_c$) one needs to study the incipient infinite cluster (IIC). The...