The next session of the Research Seminar Program will take place in the Department of Mathematics of University of Porto in a room to be announced on 18th of October of 2017.

11h00 - Peter Lombaers: Integers and Ideals: There and Back Again.

Abstract: In number theory, when you try to solve an equation in a number field, it is often more convenient to work with ideals than with integers. This stems from the fact that ideals have unique factorization, but integers may not. I will explain the advantages and difficulties of this method using concrete examples.