Text: Audrey Terras, Fourier Analysis on Finite Groups and
Applications
ISBN 0-521-45718-1, Cambridge University Press
| Date | Speaker | Pages | Topics |
|---|---|---|---|
| 1/22 | Roe Goodman | 5-7 | Review of fields, vector spaces, linear transformations |
| 1/29 | Greg Muller | 8-17 | Congruences, Chinese remainder theorem |
| 2/05 | Minh Tri Vo | 30-36 | Convolutions and Discrete Fourier Transform (DFT) |
| 2/12 | Joseph Walsh | 36-43 | Properties of DFT; Examples |
| 2/19 | Steve Curran | 46-60 | Cayley graphs; Adjacency matrix |
| 2/26 | Greg Lagakos | 97-105 | Random walks on Cayley graphs |
| 3/04 | Atsuko Odoi | 109-113 | Limits of sums of random variables |
| 3/11 | Tom Peters | 114-120 | Finite heat kernel by DFT |
| 3/25 | Yakov Brukhman | 121-127 | Geometric applications of DFT |
| 4/01 | Michael Alfare | 128-136 | Quadratic reciprocity Law by DFT |
| 4/08 | Matthew Kohut | 142-147 | Evaluation of Gauss sums |
| 4/15 | Joseph Walsh | 223-236 | Uncertainty Principles |
| 4/22 | Greg Muller | Davenport (Notes) | Dirichlet's Theorem (Primes in arithmetic progressions) |
| 4/29 | Minh Tri Vo | Davenport (Notes) | Dirichlet L-functions and Gauss sums |
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