Past Seminars- Colloquium

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  • Professor Kefeng Liu
    Thu Nov 4, 2004
    4:00 pm
    I will discuss the proofs of some conjectural formulas about Hodge integrals on moduli spaces of curves. The generating series for all genera and all marked points of such integrals are expressed in terms of finite closed formulas from Chern-Simons knot invariants. Such conjectures were made by string theorists based on large N duality in string...
  • Russ Caflisch
    Thu Oct 28, 2004
    4:00 pm
    This talk will describe the simulation, design and optimization of a qubit for use in quantum communication or quantum computation. The qubit is realized as the spin of a single trapped electron in a semi-conductor quantum dot. The quantum dot and a quantum wire are formed by the combination of quantum wells and gates. The design goal for this...
  • Professor Haruzo Hida
    Thu Oct 14, 2004
    4:00 pm
    It is a classical problem to determine the span of the theta series of a given quadraic space over a small ring. In such a way, Jacobi proved his famous formula of the number of ways of expressing integers as sums of four squares. For the norm form of a definite quaternion algebra B, we determine the span integrally over very small ring (for...
  • Professor Daqing Wan
    Thu Oct 7, 2004
    4:00 pm
    For a mirror pair (X,Y) of Calabi-Yau manifolds, we would like to understand how the arithmetic of X is related to the arithmetic of Y. In this direction, we propose two arithmetic mirror conjectures and present some partial results for them.
  • Qi Cheng
    Thu May 20, 2004
    4:00 pm
    For an error-correcting code and a distance bound, the list decoding problem is to compute all the codewords within the given distance to a received message. The bounded distance decoding problem, is to find one codeword if there exists one or more codewords within the given distance, or to output the empty set if there does not. In this talk,...
  • Prof, Mark Vishik
    Thu Feb 5, 2004
    4:00 pm
    The lecture will cover the following topics: 1. Global attractor for an autonomous evolution equation. Examples. between the attractor and the family of complete solutions. 2. Fractal dimension of a global attractor. Examples. 3. Nonautonomous evolution equations and corresponding processes. Uniform global attractor of a process. 4. Global...
  • Prof. Marshall Slemrod
    Thu Jan 29, 2004
    4:00 pm
    This talk outlines recent work by Feldman, Ha, and Slemrod on the dynamics of the sheath boundary layer which occurs in a plasma consisting of ions and electrons. The equations for the motion are derived from the classical Euler- Poisson equations. Of particular interest is that the boundary layer interface moves via motion by mean curvature where...