Seminars and Colloquiums
for the week of
November 28, 2005
SPEAKERS:
Dr. Valeriy Berestovskiy, Monday
Dr. Stephen Lucas, Monday
Dr. Valeriy Berestovskiy, Wednesday
Mr. John LaGrange, Wednesday
Dr. Stephen Lucas, Wednesday
Dr. Nikolay Brodskiy, Friday - cancelled
MONDAY, November 28, 2005
GEOMETRY/TOPOLOGY SEMINAR 667
TIME: 12:20 p.m. – 1:20 p.m.
ROOM: 209A Ayres Hall
SPEAKER: Dr. Valeriy Berestovskiy, Visiting Faculty
TITLES: Geodesics in Riemannian manifolds
DIFFERENTIAL EQUATIONS/APPLIED MATH AND COMPUTATIONAL SCIENCE SEMINAR
TIME: 3:35 p.m. – 4:25 p.m.
ROOM: 104 Ayres Hall
SPEAKER: Dr. Stephen Lucas, Visiting Faculty
TITLE: Numerically evaluating oscillating infinite integrals and a failed
(of course) approach to the
Riemann Hypothesis
ABSTRACT: There many practical problems that require the evaluation of infinite
oscillatory integrals, sometimes where the oscillation is the product of simple
oscillatory terms. We show how these integrals can be calculated efficiently,
particularly in the case of Bessel function oscillation.
We then outline an alternative way of approaching the Riemann hypothesis which
leads to a condition depending on oscillatory integrals. Unfortunately, we
show how current integration
techniques are not capable of solving the problem.
No knowledge of numerical integration theory or number theory beyond the undergraduate
will be required to follow this presentation.
WEDNESDAY, NOVEMBER 30, 2005
GEOMETRY/TOPOLOGY SEMINAR 667
TIME: 12:20 p.m. – 1:20 p.m.
ROOM: 209A Ayres Hall
SPEAKER: Dr. Valeriy Berestovskiy, Visiting Faculty
TITLE: Normal coordinates in Riemannian manifolds
ALGEBRA SEMINAR
TIME: 3:30 p.m.
ROOM: 214 Ayres Hall
SPEAKER: John LaGrange
TITLE: Kaplansky’s Theorem on Projective Modules II
APPLIED MATH/COMPUTATIONAL SCIENCE SEMINAR
TIME: 3:35 – 4:25 p.m.
ROOM: 102 Ayres Hall
SPEAKER: Dr. Stephen Lucas, Visiting Faculty
TITLE: Extrapolation methods for slowly converging sequences
ABSTRACT: There are many problems where one has a slowly converging sequence
whose limit
needs to be found. Extrapolation methods attempt to find this limit using
a much shorter piece of the sequence. Richardson’s extrapolation for
numerical differentiation is an example of this approach. The aim of this
talk is to informally discuss the formulation and use of extrapolation methods,
particularly the epsilon algorithm, probably the best general purpose extrapolation
algorithm currently available.
FRIDAY, DECEMBER 2, 2005
TOPOLOGY SEMINAR -- CANCELLED
TIME: 12:20p.m. – 1:20 p.m.
ROOM: 209B Ayres Hall
SPEAKER: Dr. Nikolay Brodskiy
TITLE: Coarse Geometry III
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