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

Tutte多项式是与图相关的多项式，它以代数方式编码关于图的结构信息。近年来，图形多项式领域出现了许多新的发展，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。毫无疑问，Tutte多项式是所有图形多项式中研究最多、最重要的，而且许多(如果不是大多数)其他图形多项式在某种程度上与Tutte多项式有关。Tutte多项式有大量的工作与之相关，跨越多个领域，在图论、拓扑学、几何学、纽结理论、生物学、物理学，甚至社会学等广泛的其他领域中都有应用。有很多关于图特多项式的单一方面的书籍；例如，关于色多项式、流和可靠性的专门化，以及关于图特多项式的其他公式，例如波茨模型，这是物理学中重要的统计力学模型。这次研讨会的目的是将图特多项式的许多广泛性质和应用方面的专家聚集在一起。这一领域的进展往往是独立发展的，每一项都有其特定的应用，但由于图特多项式是所有这些不同研究的核心，因此当技术转移时，经常会在一个领域得出结果，然后导致另一个领域的突破。这次研讨会将提供一个有效交流相关想法、技术和应用的论坛。它还将通过交流一系列开放问题和基于应用的目标来关注该领域，以供未来对图特多项式及其跨学科应用的研究。

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.