Experimentation at the Frontiers of Reality in Schubert Calculus
Abstract
We describe a general framework for largescale computational experiments in mathematics using computer resources that are available in most mathematics departments. This framework was developed for an experiment that is helping to formulate and test conjectures in the real Schubert calculus. Largely using machines in instructional computer labs during offhours and University breaks, it consumed in excess of 350 GigaHertzyears of computing in its first six months of operation, solving over 1.1 billion polynomial systems.
 Publication:

arXiv eprints
 Pub Date:
 June 2009
 arXiv:
 arXiv:0906.2497
 Bibcode:
 2009arXiv0906.2497H
 Keywords:

 Mathematics  Algebraic Geometry;
 14M15;
 14P99
 EPrint:
 16 pages, 4 .eps figures