Workshop on New Directions for the Tutte Polynomial: Extensions, Interrelations, and Applications

Tutte多项式是与图相关联的多项式，其对关于图的结构信息进行代数编码。近年来，在图多项式领域出现了一系列新的发展，其中许多发展是由数学内外的其他科学研究领域的应用所推动的。Tutte多项式无疑是所有图多项式中研究最多和最重要的，许多，如果不是大多数，Tutte多项式在多个领域中有大量的工作与之相关，在包括图论，拓扑学，几何学，纽结理论，生物学，物理学，甚至社会学。有整本书都是关于图特多项式的单一方面的;例如，关于色多项式，流量和可靠性等专业，以及图特多项式的其他公式，如波茨模型，物理学中重要的统计力学模型。本次研讨会的目的是汇集专家在许多广泛的性质和应用的Tutte多项式。这一领域的进展往往是独立发展的，每一个都有其特定的应用，但是，由于Tutte多项式是所有这些不同研究的核心，所以当技术转移时，一个领域的结果经常会导致另一个领域的突破。该讲习班将提供一个论坛，以便有效地分享有关的想法、技术和应用。它还将通过交流一组开放的问题和基于应用的目标，为Tutte多项式及其跨学科应用的未来研究领域的重点。

The Tutte polynomial is a polynomial associated with a graph that algebraically encodes structural information about the graph. Recent years have seen a surge of new developments in the area of graph polynomials, with many of these developments being driven by applications to other areas of scientific research, both within mathematics and outside of it. The Tutte polynomial is unquestionably the most heavily studied and important of all graph polynomials, and many, if not most, other graph polynomials are related to the Tutte polynomial in some way.The Tutte polynomial has a vast body of work associated with it, across multiple fields, with applications in a wide range of other areas encompassing graph theory, topology, geometry, knot theory, biology, physics, and even sociology. There are entire books on just single facets of the Tutte polynomial; for example, on specialisations such as the chromatic polynomial, flows, and reliability, as well as on other formulations of the Tutte polynomial such as the Potts model, an important statistical mechanics model in physics. The purpose of this workshop is to bring together experts in the many wide-ranging properties and applications of the Tutte polynomial. Advances in this area tend to develop independently, each for their own particular application, but, because the Tutte polynomial is at the heart of all these various investigations, very frequently results in one field then lead to breakthroughs in another when the techniques are transferred. This workshop will provide a forum for effective sharing of related ideas, techniques and applications. It will also focus the field by communicating a set of open problems and applications-based objectives for future research on the Tutte polynomial and its applications across disciplines.