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Joint Meeting of AMS, DMV, and ÖMG
June 16-19, 2005
Johannes Gutenberg University
Mainz, Germany

Organizers
Volker Bach, Mainz; Klaus D. Bierstedt, DMV; Susan Friedlander, Associate Secretary, AMS

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Balancing Newton polytopes
by
Michael Joswig
TU Darmstadt, Germany
Coauthors: Nikolaus Witte

A d-dimensional simplicial complex is balanced if its graph is (d+1)-colorable. We study constructions for balanced triangulations of convex polytopes. In view of recent results of Soprunova and Sottile this yields lower bounds for the number of real solutions of certain sparse polynomial systems.

Date received: March 30, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # caqm-58.