University of South Carolina
Department of Mathematics
Seminar & Colloquium Schedule (1999)
September 27 - October 3
Number Theory Seminar:
A distribution problem for powerfree values of irreducible polynomials.
(part 3)
(Michael Filaseta (joint work with Brian Beasley),
filaseta@math.sc.edu,
University of South Carolina)
Monday 10:10 PM LC312
Frames Seminar:
Weyl-Heisenberg Frames.
(Mark Lammers,
lammers@math.sc.edu,
University of South Carolina, visitor)
Monday 2:30 PM LC312
IMI Applied Mathematics Seminar:
Fast Optic Flow with Wavelets.
(Christepher Bernard,
Centre de Mathematiques Appliquees, Ecole Polytechnique, France)
Monday 2:30 PM LC401
IMI Seminar:
Talk #1 - Some Remarks to the Poincare's theorem about recurrence equations.
Talk #2 - Some Applications of Poincare's theorem to the convergence of
continued fractions.
(Victor Buslaev,
Steklov Mathematical Institute, Moscow, Russia)
Tuesday 2:00 PM LC312
Set Theory and Topology Seminar:
A construction of a countably paracompact, first countable,
collectionwise Hausdorff space that is not strongly collectionwise
Hausdorff. The space is Tychonoff, and in Tychonoff spaces
the latter property is equivalent to: Whenever f is a continuous function from a closed discrete subspace
D to a Hilbert (or Banach) space, then f can be extended to
the whole space.
This example, done using special axioms of set theory, is in
contrast to the following result of Burke: if it is consistent
that there is a strongly compact cardinal, it is consistent
that every first countable, countably paracompact Tychonoff
space is strongly collectionwise Hausdorff. Pavlov's example
does not require any large cardinal axioms.
(Oleg Pavlov,
pavlov@math.sc.edu
University of South Carolina)
Friday 2:30 PM LC312
Combinatorics Seminar:
POWER-AT-A-DISTANCE.
This paper offers basic theory and research on the extension of
power beyond adjacencies. It is shown that previous studies,
which were confined to power exercise between immediately
adjacent actors, cannot account for power as it occurs in the
macrostructures of the contemporary world. Two components of
power exercise, benefit and control, are distinguished. In previous
work, the two were found together, but for exchange networks
with power beyond adjacencies, the two are frequently separated.
As model structures are built and experiments designed, new
power conditions are found which affect the distribution of power
across the structure. Applying resistance equations to the models
gives system-wide predictions which are supported by
experiments. The experiments show how power as control and
power as benefit are separated, that middlemen are not necessarily
advantaged, and that maximal power differences can be extended
across structures with no attenuation.
(David Willer,
dwiller@sc.edu,
University of South Carolina, Department of Sociology)