
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.

Qi Cheng
Thu May 20, 2004
4:00 pm
For an errorcorrecting 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...