PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan.

Title:Hilbert's Tenth Problem in complementary subrings of number fields
Seminar:Algebra and Number Theory Seminar
Speaker:Kirsten Eisentraeger, Penn State University
Abstract:
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
Date:10 / 14 / 2010
Time:11:15am - 12:05pm