PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan, Mihran Papikian, Ae Ja Yee.

Title:Hilbert's Tenth Problem for subrings of the rational numbers
Seminar:Algebra and Number Theory Seminar
Speaker:Kirsten Eisentraeger, Penn State University
Abstract:
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. 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.

Room Reservation Information

Room Number:MB106
Date:10 / 30 / 2014
Time:11:15am - 12:05pm