====== Thomas Zaslavsky (Binghamton) ======

====== The Isaac Newton Workshop on Zeros of Graph Polynomials ======

===== Abstract for the Combinatorics Seminar 2008 January 29 =====

The Newton Institute's semester program on [[http://www.newton.cam.ac.uk/programmes/CSM/index.html|Combinatorics and Statistical Mechanics]] devoted last week to a workshop on [[http://www.newton.cam.ac.uk/programmes/CSM/csmw01.html|Zeros of Graph Polynomials]]. I report on what I remember:

  * The multivariate approach to the dichromatic (or "Tutte") polynomial. Specializing to the chromatic polynomial through the Potts model. Zeros and phase transitions.
  * Real chromatic zeros: zero-free intervals, zero-dense intervals, unknown intervals.
  * Complex chromatic zeros: limit curves for chromatic zeros of graph families and their influence on real zeros, hence phase transitions.
  * And the odd misfit talks.

The full programs of the two weeks with links to abstracts are at:

  * [[http://www.newton.cam.ac.uk/programmes/CSM/csmw06p.html|Introductory Cross-Disciplinary Symposium]],
  * [[http://www.newton.cam.ac.uk/programmes/CSM/csmw01p.html|Zeros of Graph Polynomials]].

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Links to videorecorded talks and files of slides are at:

  * [[http://www.newton.cam.ac.uk/webseminars/pg+ws/2008/csm/csmw06/|Introductory Cross-Disciplinary Symposium]],
  * [[http://www.newton.cam.ac.uk/webseminars/pg+ws/2008/csm/csmw01/|Zeros of Graph Polynomials]].


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