Department of Mathematics and Statistics at the Faculty of Science
University of Calgary
Computing in quadratic number fields
Submitted by jlongwor on Tue, 02/23/2010 - 12:21pm.
Feb 26 2010 - 3:00pm
Feb 26 2010 - 3:50pm
Speaker:
Jean-Francois Biasse, Ecole Polytechnique, Paris
Location:
ICT 616We define quadratic number fields and discuss algorithmic aspects of computing their ideal class groups, regulators and fundamental units. We also present number theoretic and cryptographic applications of these algorithms, such as Pell equation solving or computing discrete logarithms.