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Experimentation at the Frontiers of Reality in Schubert Calculus

Chris Hillar
Luis García-Puente
Abraham M. del Campo
James Ruffo
Stephen L. Johnson
Zach Teitler
Frank Sottile

Abstract

We describe the setup, design, and running of an experiment utilizing a supercomputer that is helping to formulate and test conjectures in the real Schubert calculus. Largely using machines in instructional computer labs during o -hours and University breaks, it has consumed in excess of 350 GigaHertz-years of computing in its rst six months of operation, solving over 1.1 billion polynomial systems. This experiment can serve as a model for other large scale mathematical investigations.

Suggested Citation

Chris Hillar, Luis García-Puente, Abraham M. del Campo, James Ruffo, Stephen L. Johnson, Zach Teitler, and Frank Sottile. "Experimentation at the Frontiers of Reality in Schubert Calculus" American Mathematical Society Central Section Meeting. Waco, TX. Oct. 2009.



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