Konferenzen  >  Mathematik  >  Graphentheorie und Kombinatorik  >  Kanada

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

Core objects of study in algebraic geometry and in commutative algebra are called varieties and rings, respectively. Varieties are geometric objects that consist of sets of solutions to polynomial equations. Each variety has a corresponding ring consisting of the polynomial functions that are defined on the variety.

Algebra,    Geometrie und Topologie

Fields Institute, Toronto, Canada

The aim of the 21st Workshop on Modelling and Mining Networks (WAW 2026) is to further the understanding of networks that arise in theoretical as well as applied domains. The goal is also to stimulate the development of high-performance and scalable algorithms that exploit these networks. The workshop welcomes the researchers who are working on graph-theoretic and algorithmic aspects of networks represented as graphs or hypergraphs and other higher order structures.

Komplexe Netzwerke,    Netzwerke, Internet

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

In recent years some of the most exciting breakthroughs in Combinatorics on longstanding conjectures have resulted from innovative applications of established techniques to areas where they have not necessarily been used before. We would like to harness the power of collaboration and bring together open-minded participants with different areas of expertise to produce novel research in a number of globally studied areas including. We aspire to create new productive long-term bonds between members of the global community.

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

The proposed workshop focuses on recent breakthroughs in arithmetic functions, L-functions, and pseudorandomness in Number Theory, as well as new connections to other areas (via both employed methods and applications), such as additive combinatorics, arithmetic statistics, and dynamical systems. Such breakthroughs include the latest advances in the study of various character and exponential sums (e.g., Kloosterman sums), which are powerful and versatile tools for understanding the anatomy of integers; moments, and other averages of L -functions (over number fields and function fields); integers having a prescribed arithmetic structure (e.g., prime, smooth, square-free, sum of two squares), along with their distribution in arithmetic progressions and short intervals, as well as function field analogs of these problems; distribution of elements of multiplicative subgroups; pseudorandomness of arithmetical functions. An essential aspect of these developments is the vast arsenal of tools and techniques that have been conceived, developed, and implemented, ranging from analysis to additive combinatorics, algebraic geometry, and random matrix theory. The proposed workshop will concentrate on the emerging methods that underlie such advances and on possible future directions.

Zahlentheorie, Arithmetik,    Statistik, Spieltheorie

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

This workshop concerns cutting edge research in combinatorics and graph theory, an area central to understanding structures which appear in modern technology, such as the internet and communication devices. Problems that were previously intractable can now be approached due to advances in computing. This workshop will feature 4-6 working groups on research on topics including graph matchings and algorithms, combinatorial coding theory, graph invariants, and algebraic graph theory. Research results from the workshop will be incorporated into Sage, a free open-source computer algebra system, and Python.

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

Higher-rank graphs generalize path categories of directed graphs and are intricately connected to various mathematical disciplines. This workshop aims to illuminate the rich interplay between higher-rank graph C*-algebras and fields such as algebra, theoretical physics, and geometry. By examining how these algebras both influence and are influenced by these diverse areas, the event will provide insights into their broader implications and applications. The workshop will bring together experts from different fields and career stages, each offering a unique perspective on higher-rank graphs. and interactions.

Kurse und Veranstaltungen für Studenten der Mathematik,    Algebra

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

Evolving random structures are discrete mathematical models that evolve randomly `step-by-step’ over time. Such evolving structures are powerful tools, and the topic has been receiving considerable attention from combinatorics, probability, computer science and related communities. For example, in combinatorics some of the best-known extremal constructions arise from natural evolving random hypergraph models, and in probability many interesting dynamic network models arise from carefully crafted evolving random graph models. Interestingly, in combinatorics and probability slightly different sets of ideas have been proposed for analyzing such random evolving structures, which in turn have also found applications in the analysis of randomized algorithms.