PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Jan Reimann, Stephen Simpson, Jason Rute.

Title:Hilbert's Tenth Problem for subrings of the rationals and number fields.
Seminar:Logic Seminar
Speaker:Kirsten Eisenträger, Penn State
In 1970 Matiyasevich, building on work by Davis, Putnam and Robinson, proved that Hilbert's Tenth Problem is undecidable. Since then, analogues of this problem have been studied by considering polynomial equations over commutative rings other than the integers. The biggest open problem in the area is Hilbert's Tenth Problem over the rational numbers and over number fields in general. In this talk we will construct some subrings $R$ of the rationals that have the property that Hilbert's Tenth Problem for $R$ is Turing equivalent to Hilbert's Tenth Problem over the rationals. We will show that the same can be done for number fields. The rings will be constructed with a priority argument.

Room Reservation Information

Room Number:MB315
Date:01 / 27 / 2015
Time:02:30pm - 03:45pm