For more information about this meeting, contact Robert Vaughan.
| Title: | Hilbert's Tenth Problem in complementary subrings of number fields |
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| Seminar: | Algebra and Number Theory Seminar |
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| Speaker: | Kirsten Eisentraeger, Penn State University |
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| Abstract: |
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| In this talk I will prove that Hilbert's Tenth Problem is undecidable for subrings of algebraic number fields that are complementary in a very strong
sense. I will show that the non-archimedean primes of a number field $K$ can be partitioned into $t$ disjoint recursive subsets $S_1, \dots, S_t$ (for any $t >1$) such that Hilbert's Tenth Problem is undecidable for the corresponding rings of $S_i$-integers. The only assumption on $K$ is that there is an elliptic curve of rank one defined over $K$. This is joint work with Graham Everest and Alexandra Shlapentokh. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 10 / 14 / 2010 |
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| Time: | 11:15am - 12:05pm |
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