- Series
- School of Mathematics Colloquium
- Time
- Thursday, November 10, 2016 - 11:05am for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Peter Olver – University of Minnesota – http://www.math.umn.edu/~olver/
- Organizer
- Anton Leykin
The evolution, through spatially periodic linear dispersion, of rough
initial data leads to surprising quantized structures at rational times,
and fractal, non-differentiable profiles at irrational times. The
Talbot effect, named after an optical experiment by one of the founders
of photography, was first observed in optics and quantum mechanics, and
leads to intriguing connections with exponential sums arising in number
theory. Ramifications of these phenomena and recent progress on the
analysis, numerics, and extensions to nonlinear wave models will be
discussed.