
Professor Steven Krantz
Tue Nov 30, 2004
4:00 pm
The DiederichFornaess 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 CauchyRiemann
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 Ktheory 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 ChernSimons 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 semiconductor
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 CalabiYau 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.