View Proposal #259
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| ID | 259 |
|---|---|
| First Name | Christian |
| Last Name | Roettger |
| Institution | Iowa State University |
| Speaker Category | faculty |
| Title of Talk | Sequences and their annihilators |
| Abstract | Annihilating polynomials have been widely used in geometry and to study sequences over fields and over the integers Z. We use the same simple ideas to study sequences over Z modulo n. There are surprising difficulties, surprisingly nice results and an open conjecture. We can demonstrate some applications to recurrence sequences like the Fibonacci and Lucas numbers, or discrete dynamical systems. Joint work with John Gillespie. Prerequisites: ring, ideal, quotient ring, Chinese Remainder theorem - suitable for undergraduates with a first course in algebra. |
| Subject area(s) | Algebra, elementary number theory |
| Suitable for undergraduates? | Yes |
| Day Preference | |
| Computer Needed? | N |
| Bringing a laptop? | Y |
| Overhead Needed? | N |
| Software requests | |
| Special Needs | |
| Date Submitted | 9/19/2009 |
| Year | 2009 |