Sheaves for engineering problems

SpeakerDr. Michael Robinson
Organization American University
LocationEngineering Building II Room 1230
DateJanuary 18, 2013 12:50 PM

 Abstract:

Many systems operate by taking local measurements and exerting local control.  The mathematical abstraction that describes locality and local data is that of a "sheaf."  Sadly, sheaves have typically been avoided in practice (even among mathematicians), due to the highly technical nature of the theory.  However, the little-known thesis of Shepard (Brown University) showed how to avoid much of the technicality while retaining a compelling and useful theory.  I will outline the key aspects of this theory, and discuss applications to several engineering problems of current interest.

Bio:

Michael Robinson is an assistant professor at the Department of Mathematics and Statistics at American University and a research engineer at SRC, Inc. His 2008 Ph.D. in Applied Mathematics [Cornell University] and recent work in topological signal processing is complemented by a background in Electrical Engineering and current work in radar systems analysis.

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