Past Seminars- Colloquium

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  • Professor Steven Krantz
    Tue Nov 30, 2004
    4:00 pm
    The Diederich-Fornaess worm domain has proved to be of fundamental importance in the understanding of the geometry of pseudoconvex domains in multidimensional complex space. More recently, the worm has proved to be an important example for the study of the inhomogeneous Cauchy-Riemann equations in higher dimensions. In forthcoming work, Krantz and...
  • Professor Yuri Zarhin
    Thu Nov 18, 2004
    4:00 pm
    We discuss how to use irreducible polynomials with big Galois groups in order to construct abelian varieties without nontrivial endomorphisms.
  • Professor Yongbin Ruan
    Fri Nov 12, 2004
    3:00 pm
    In this talk, I will give a survey on some of recent advances in orbifold theory and focus on the application. It includes the computation for cohomology of Hilbert scheme of points of algebraic surface, symplectic resolution, twisted K-theory and many other stuff.
  • 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.