| Frontiers of reality in Schubert calculus |
Goal: Use large-scale computation to study questions in the Schubert calculus,
with a focus on generalizations of the Shapiro conjecture.
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> Current data view
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Advisor:
Frank
Sottile
Postdocs:
Zach Teitler
Graduate Students:
Corey Irving,
Abraham Martin del Campo,
Nick Hein
Emeritus Members:
Chris Hillar
Luis Garcia-Puente, Sam Houston State University,
Jim Ruffo, SUNY-Oneonta
Team
Calendar (created by Abraham)
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Documentation Wiki
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Frank's To Do list
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Sequel Pro
Replacement for CocoaMySQL. Fixes numerous serious bugs.
Spotcheck scripts (4/14/09).
(enclosed README also available here)
These scripts allow you to re-compute selected requests
and compare your results with those obtained by the calclabs.
This is useful for testing new versions of software and general quality control
of results.
Version 1.0.4 release (4/14/09).
(enclosed README also available here,
including release notes, i.e., list of updates in each version)
Version 1.0.2 release (12/10/08).
(enclosed README also available here)
Version 1.0.2a pre-release.
(enclosed README also available here)
Version 1.0.1 (11/23/08)
(enclosed README also available here; please read, it has changed since v1.0.1a)
Version 1.0.1-a EXPERIMENTAL pre-release. Please notify Zach of any bugs.
(enclosed README also available here)
Version 1.0.
Only miln303 and Frank can load problems into secant database!
PHP files for version 1.0 (Updated Nov 5 by Abraham)
Math-Random-0.70.tar. The perl math random package. Install it.
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| Old items |
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| Quick References: |
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> Important Books |
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> Important Articles
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Sottile. The conjectures of Shapiro and Shapiro
(web article) |
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Sottile, Real Schubert Calculus: Polynomial systems and a conjecture of Shapiro and
Shapiro, Experimental Mathematics, 9, No. 2 (2000), 161-182. |
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Sottile. Enumerative Real Algebraic Geometry
(web article) |
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Ruffo, Sivan, Soprunova, Sottile, Experimentation and conjectures in the real Schubert
calculus for flag manifolds, Experimental Mathematics, 15, No. 2 (2006), 199-221. |
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