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1st Joint International Meeting between the American Mathematical Society and the New Zealand Mathematical Society
December 12-15, 2007
Victoria University of Wellington
Wellington, New Zealand

Organizers
Peter Donelan (VUW, co-convener), Matt Miller (South Carolina, co-convener), Jeff Cheeger (Courant/NYU), Rod Downey (VUW), Peter Jones (Yale), Vaughan Jones (UC Berkeley), Gaven Martin (Massey, Albany)

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The Tutte polynomial turned upside down
by
Joseph P. Kung
University of North Texas
Coauthors: None

This talk is about possible new directions for research on the Tutte polynomial. The talk will begin with a generalization of flows and tensions for graphs to matroids represented over partial fields. We will show how results of Goodall and Matiaseyich can be extended in an elementary way to such matroids. We will also discuss whether it is possible to count flows over the dyadic partial field (which is not finite, but "profinite"). We will end by discussing the question of defining an "upside-down" Tutte polynomial based on a natural recursion for the the Eulerian function of a matroid.

Date received: August 29, 2007

Copyright © 2007 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 Conferences Inc. Document # catm-42.