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Activities

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Colloquium
Beginning2009-12-21 16:00:00
Ending2009-12-21 17:00:00
Event titleFourier analysis and expanding phenomena in finite fields
SpeakerMr. Chun-Yen Shen (Indiana University)
PlaceR734, the 3rd General Building
DescriptionClick here to read
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NoteWe use Fourier analysis to investigate the expanding phenomena in finite fields. In particular, we characterize the polynomials such that when A behaves like an arithmetic progression, then the size of its image under the polynomials is large. The Gauss and Weil’s exponential sums estimates play an important role. If time permits, we will also discuss the same problem in real setting, in which a small amount of algebraic geometry is used, in particular the Bezout’s theorem.
Tea Time: 3:30PM R707
Last Update Time2009-12-02 11:57:04
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