Konferenzen  >  Mathematik  >  Graphentheorie und Kombinatorik

Simons Laufer Mathematical Sciences Institute (SLMath)

This school will introduce students to a range of powerful combinatorial tools used to understand algebraic objects ranging from the homogeneous coordinate ring of the Grassmannian to symmetric functions. The summer school will center around two main lecture series "Webs and Plabic Graphs" and "Vertex Models and Applications". While the exact applications differ, both courses will center on graphical models for algebraic problems closely related to Grassmannian and its generalizations. This school will be accessible to a wide range of students. Students will leave the school with a solid grasp of the combinatorics of webs, plabic graphs, and the six-vertex model, an understanding of their algebraic applications, and a taste of current research directions.

IAS/Park City Mathematics Institute

Extremal graph theory and Ramsey theory are two of the central branches of modern extremal combinatorics, which seeks to understand the size and structure of discrete objects under certain natural constraints. In this course we will explore these topics, seeing both some of the beautiful techniques developed to study such problems, as well as many innocent-looking problems that seem completely out of reach of the currently-known techniques. We will also see some of the many connections these questions have to other areas of mathematics, including geometry, number theory, probability, and theoretical computer science.

Research Theme: Extremal and Probabilistic Combinatorics

University of St Andrews

This conference series was established in 2003 and has been held annually since then. It is centred around the study of patterns in permutations and other combinatorial objects. The keynote speakers will be David Bevan (University of Strathclyde) and Natasha Blitvić (Queen Mary University of London). We will welcome submissions of extended abstracts in all research fields related to patterns in permutations and other combinatorial objects.

permutation, patterns, combinatorics

hosted in Haifa, Israel

Enumerative combinatorics is a dynamic subfield of the mathematical sciences with many challenging research problems, ingenious and sophisticated techniques, and important applications in various scientific fields. Questions from a broad range of areas, including algebra, topology, probability, computer science, physical, chemical and biological sciences, have some surprising hidden combinatorial structures that require enumerative methods for their solution.

Alfréd Rényi Institute of Mathematics

Eurocomb, the European Conference on Combinatorics, Graph Theory and Applications, is an academic conference in the mathematical field of combinatorics. Topics include algebraic combinatorics, combinatorial geometry, combinatorial number theory, combinatorial optimization, designs and configurations, enumerative combinatorics, extremal combinatorics, graph theory, ordered sets, random methods, and topological combinatorics.

Organized by: UP FAMNIT - University of Primorska, Faculty of Mathematics, Natural Sciences and Information Technologies; UP IAM - University of Primorska, Andrej Marušič Institute; SDAMS - Slovenian Discrete and Applied Mathematics Society; IMFM - Institute of Mathematics Physics and Mechanics

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Statistik, Spieltheorie ,    Informationstheorie und Grundlagen der Informatik

Institute for Computational and Experimental Research in Mathematics, Brown University, Providence, RI (ICERM)

Can machines prove theorems? Can they have mathematical ideas? On one hand, category theory offers a formalism for axiomatising ideas from machine learning. On the other hand, mathematicians are excited about the prospect of utilising machine learning techniques to spot new patterns in vast swathes of combinatorial data and hence formulate new conjectures. The purpose of this workshop is to bring together experts from across algebraic combinatorics, category theory, and machine learning in order to make headway on topics at the intersection of these fields.

AGH University of Krakow, Poland

This will be a subsequent event in the series of conferences organized by the Faculty of Applied Mathematics of AGH University of Krakow.

Email: graphs@agh.edu.pl

Algebraic Graph Theory, Algorithmic Graph Theory, Design Theory, Domination Graph Theory, Extremal Graph Theory, Graphs Colouring, Graph Product, Labelings of Graphs, Probabilistic Methods and Random Graphs.

American Institute of Mathematics, Pasadena, California (AIM)

This workshop, sponsored by AIM and the NSF, will be devoted to further developing the method of flag algebras and its applications. Flag algebras, developed by Razborov in 2007, allows one to solve problems in combinatorics via streamlined calculations that combine elements from computer engineering and optimization. It led to many recent breakthroughs on long-standing open problems of Erdős, Sós, Turán, Gromov and Zarankiewicz, to name a few. The technique is versatile and can be applied in other settings than graphs and hypergraphs including permutations, oriented graphs, point sets, embedded graphs, and phylogenetic trees.

The Latin American Algorithms, Graphs, and Optimization Symposium (LAGOS) is a biennial event that brings together researchers and practitioners from around the world. Since 2001, LAGOS has served as a key forum for the exchange of ideas and collaboration. It is the merger of two Latin American conferences: the Brazilian Symposium on Graphs, Algorithms, and Combinatorics (GRACO) and the Latin American Conference on Combinatorics, Graphs, and Applications (LACGA).

Algorithmen und Datenstrukturen,    Optimierungsrechnung, Entscheidungsunterstützung

Institute for Computational and Experimental Research in Mathematics, Brown University, Providence, RI (ICERM)

This workshop encompasses three major aspects of computation within Representation Theory and Algebraic Combinatorics. One concerns the development of efficient algorithms to compute important quantities in order to understand and classify them better. Such problems include structure constants and representation theoretic multiplicities, mutation invariants in cluster algebras, computing dimensions of coinvariant rings, characters of finite-dimensional representations, coefficients of Kazhdan-Lusztig polynomials, web bases etc. This is closely related to understanding what optimality we could expect and in particular the computational complexity aspects of those problems. Their computational complexity class can also be used to understand the existence of combinatorial interpretations, in particular for major structure constants lacking positive formulas like Kronecker and plethysm coefficients. On the other hand, representation theory has seen important applications within computational complexity theory, in the context of Geometric Complexity Theory and Quantum Information Theory.

Victoria University of Wellington, School of Mathematics and Statistics

The Australasian Combinatorics Conference (ACC) is the annual conference of the CMSA, and covers all areas of combinatorics in mathematics and computer science. Any researchers in these areas are encouraged to attend and contribute a talk.

Organisers;     Email: 47AustCombCon@gmail.com

Institute for Computational and Experimental Research in Mathematics, Brown University, Providence, RI (ICERM)

Webs are diagrammatic tools for representing complex calculations graphically. These diagrams first arose from the representation theory of classical groups, and they have since become important in disparate areas of mathematics. In representation theory, they encode morphisms of quantum groups. In topology, webs give rise to powerful link invariants. In algebra and geometry, Kuperberg's \(mathrm{sl}(3)\) web bases have important relationships with the theory of cluster algebras and affine buildings. In combinatorics, they explain certain dynamics on Young tableaux. Recent work by Gaetz--Pechenik--Pfannerer--Striker--Swanson introduced an \(\mathrm{sl}(4)\) web basis that has exploited and extended exciting connections between webs, plabic graphs, and crystals. There are further connections to total positivity, duality conjectures for cluster algebras and mirror symmetry.

Gruppentheorie,    Algebra

Our meeting will bring together researchers in various fields of mathematics such as Geometry, Combinatorics and Algebra. Through scientific talks new directions will be given and open problems will be proposed aiming at new collaborations among the participants.

Geometry, Combinatorics, Commutative Algebra.

Geometrie und Topologie,    Algebra