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This Week’s News (04/13/2006 – 04/20/2006)
Funding/Grant
REP/Awards
None this week!! Graduate
None this week!!
Undergraduate
None this week!!
Departmental Meetings, Seminars, Conferences, & Colloquiums
·
Mathematical
Colloquium
Thursday, April 20, 2pm sharp
Inverse Born Approximation in Two Dimensions
Valery Serov
Dept of Mathematical Sciences,
and Dept of Mathematics, University of
Abstract: This work deals with the inverse scattering problem for the
two-dimensional Schrödinger operator.
The inverse problem which is studied here can be formulated as follows: to
reconstruct the quantum mechanical potential (or its points of
singularities) from the
far field measurements
(scattering amplitude) of a set of scattering solutions of the Schrödinger
equation. A widely applied approximate method of estimating the potential is to
use the Born approximation
of the scattering
solutions. Four famous inverse
scattering problems
are considered, namely
general scattering, backscattering, fixed angle scattering and fixed
energy scattering. The obvious advantage of this approximation is: within the
Born approximation, the scattering amplitude is simply the Fourier
transform of the unknown potential. The main
part
of these considerations
consists in getting sharp enough estimates for
the first nonlinear term.
These estimates allow to conclude that all singularities and jumps of the
unknown potential can be obtained exactly by the
inverse Born approximation. Especially, for the potentials from
L^p-spaces the Approximation
agrees with the true potential up to the continuous function. In particular, if
the potential is the characteristic function of a bounded domain this domain is
uniquely determined by
the inverse Born
approximation.
The
Colloquium counts as Seminar Credit for Mathematics Students.
Off-campus Seminars, Conferences, and Colloquiums
None this week!!
On-campus Seminars, Conferences, and Colloquiums
·
Math
Awareness Month 2006
The Joint Policy Board
for Mathematics announces that this year’s Mathematics Awareness Month focuses
on the contribution of mathematics to Internet Security. If you want to tap into the resources
available to you for Math Awareness Month, go to: http://www.mathaware.org
·
2006 PREP
WORKSHOPS
Colleagues . . . it is
once again time to register for this year’s PREP workshops. These workshops are a bargain at $250 for
most
workshops which includes lodging
and food. For info visit: http://www.maa.org/prep
·
2006 PMET
WORKSHOPS
During the summer of
2006, PMET will offer four new workshops
and two continuing workshops
for college and university faculty
who teach mathematics
courses taken by prospective teachers.
Each workshop will focus
on preparing teachers for elementary,
middle and/or secondary school
mathematics. For info or to register: http://www.maa.org/pmet
·
Regional
Undergraduate Mathematics Conferences
The MAA has received
funding from the Division of Mathematical
Sciences
at the National Science Foundation to provide support for institutions or
groups of institutions that wish to initiate or expand undergraduate
mathematics conferences. The primary objective of
the grant is to provide as
many undergraduate students as possible
with the opportunity to
present mathematically oriented talks and to better expand their knowledge of
the wide range of theory, history,
and applications of the
mathematics sciences at conferences that are within their geographic region.
For info on support
conferences: http://www.maa.org/rumc
·
2006 Summer
MathFest in
August 10-12, 2006
This year’s MathFest offers a full range of programs designed to appeal
to all of the
mathematically inclined. Look for full
details in the April issue of FOCUS or go to: http://www.maa.org