Hilbert's Tenth Problem and Generalizations

Series
Algebra Student Seminar
Time
Friday, March 18, 2022 - 11:00am for 1 hour (actually 50 minutes)
Location
Skiles 006 and Teams
Speaker
Ian Lewis – Georgia Tech
Organizer
Trevor Gunn
Hilbert's Tenth Problem asks whether there exists an algorithm to determine whether an arbitrary polynomial with integer coefficients has a solution or not. This problem was resolved by Matiyasevich building of the work in of Robinson, Davis, and Putnam in the 70s. We will give an overview of how this problem was resolved and the current status of various generalizations.