PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan.

Title:Descent on elliptic curves and Hilbert's Tenth Problem
Seminar:Algebra and Number Theory Seminar
Speaker:Kirsten Eisentraeger, Penn State
Abstract:
We will use descent via an isogeny on an elliptic curve to construct two subrings of of the rational numbers, which are complementary in a strong sense, and for which Hilbert's Tenth Problem is undecidable. This method further develops that of Poonen, who used elliptic divisibility sequences to obtain undecidability results for some large subrings of the rational numbers. This is joint work with Graham Everest.

Room Reservation Information

Room Number:MB106
Date:10 / 30 / 2008
Time:11:15am - 12:05pm