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Mathematics Colloquium: Peter Olver (University of Minnesota)

Event Type
Seminar/Symposium
Sponsor
Department of Mathematics
Location
245 Altgeld Hall
Date
Nov 21, 2013   4:00 pm  
Contact
Steve Bradlow
E-Mail
bradlow@illinois.edu
Views
1430

Peter Olver (University of Minnesota) will present "Dispersive Quantization -- the Talbot Effect." The evolution, through linear dispersion, of piecewise constant periodic initial data leads to surprising quantized structures at rational times, and fractal, non-differentiable profiles at irrational times. Similar phenomena have been observed in optics and quantum mechanics, where it is known as the Talbot effect after an optical experiment by one of the founders of photography, and lead to intriguing connections with exponential sums arising in number theory. Ramifications of these observations for numerics and nonlinear wave models will be discussed.

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