

Department of Mathematics
The Florida State University


This Week in Mathematics
23 - 27 November 1998

Monday: 23 November 1998
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MARTECH Seminar, 2:30 p.m., 707 Keen Building
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Arne T. Skjeltorp, Institute for Energy Technology, Kjeller, Norway and Physics Dept., University of Oslo
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Knotty Physical Problems and Braid Solutions
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How, in a simple and forceful way, do we characterize the dynamics of
systems with several moving componentsr? The methods based on the theory
of braids may provide the answer. Knot and braid theory belong to a subfield of
mathematics known as topology. It involves classifying different ways of
tracing curves in space. Knot theory originated more than a century ago
and is today a very active area of mathematics.
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Recently, we [1] have been able to use notions from braid theory to map
the complicated trajectories of tiny magnetic beads confined between two
plates and subjected to complex magnetic fields. The essentially two-dimensional
motion of a bead can be represented as a curve in a three-dimensional
space-time diagram, and so several beads in motion produce a set of
braided curves. The topological description of these braids thus provides a simple
and concise language for describing the dynamics of the system, as if the
beads perform a complicated dance as they move about one another, and the
braid encodes the choreography of this dance.
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[1] With Sigmund Clausen (Thesis, Physics Dept., Univ. of Oslo, 1998) and Geir Helgesen, IFE.
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As always, refreshments will be served.
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Tuesday: 24 November
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Algebraic Geometry Seminar, 2:00 p.m., 104 Love Building
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Angela Vierling, Florida State University
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The 27 Lines on a Cubic Surface
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No Knot Theory Seminar, 3:35 p.m., 104 Love Building
Wednesday: 25 November
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No (Real) Analysis Seminar, 2:30 p.m., 102 Love Building
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No Complex/Symbolic Coffee, 3:15 p.m., 105 Love Building
No Complex/Symbolic Seminar, 3:35 p.m., 102 Love Building
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Thursday: 26 November THANKSGIVING
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No Algebra Seminar, 2:00 p.m., 104 Love Building
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No Topology Tea Time, 3:00 p.m., 204 Love Building
No Topology Seminar, 3:35 p.m., 104 Love Building
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Friday: 27 November
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No Graduate Student Seminar, 12:20 p.m., 204 Love Building
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No Colloquium Coffee, 3:00 p.m., 204 Love Building
No Colloquium, 3:30 p.m., 101 Love Building
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No Scientific Computing Seminar, 4:30 p.m., 200 Love Building
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Seminars and colloquia at
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university [a.k.a. the University of Florida]

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This document is maintained by
Melissa Elaine
Smith /
smith@math.fsu.edu
