School of Mathematics

The International Workshop on Optimal Network Topologies (IWONT) is an established series of workshops for researchers active in the following areas:

• degree-diameter and degree-girth problems in graphs and digraphs;
• construction techniques and structural properties of optimal graphs and digraphs with given properties;
• spectral techniques in graph theory;
• design of networks for optimal efficiency or reliability;

     • applications of graphs to theoretical chemistry.

Payment to be made after you have been accepted as a participant only. Payment alone does not guarantee a place at this workshop.

Following the success of the Higher Rank Graphs workshop in 2019 it was suggested to the organisers that they explore the broader connections between C*-algebras and the rest of mathematics and not restrict their focus to those C*-algebras that happen to arise from higher rank graphs. There are good reasons for doing this. Operator algebras in general have been influential on mathematics at least since the pioneering work of Marshall Stone in the 1930's. While C*-algebras interact nicely with many other areas of mathematics, the majority of work has been to bring outside ideas into the C*-algebraic framework. However, there are rare but significant advances in the other direction; for example, the Jones polynomial in knot theory, Alain Connes' non-commutative geometry program, and Krieger's invariant for subshifts of finite type. Many important connections between C*-algebras and the rest of mathematics are mediated by etale groupoids which connect the theory of C*-algebras with group theory advanced aspects of category theory such as the theory of toposes (via etendues). There are also important connections between the theory of C*-algebras and the theory of algebras in general such as Leavitt path algebras and Steinberg algebras and algebras that arise naturally in theoretical physics.

Topology is likely to be featured prominently in any truly useful quantum computation scheme.  The hurdle of scalable fault-tolerance is insurmountable with the current incremental progress -- while it is possible to engineer systems supporting hundreds of physical qubits, applications beyond academic interest require millions of qubits to implement robust error correction. Topological quantum computation (TQC) relies upon the preparation of topological phases of matter supporting non-abelian anyons to perform inherently fault-tolerant operations.  As errors are corrected at the hardware level through the topological nature of anyons, the problem of scalability is simultaneously overcome.  On the other hand, despite years of effort we still don't have unassailable confirmation that non-abelian anyons exist. This workshop will bring together researchers in a diversity of fields in and around TQC for the purpose of broadening and deepening the subject, with an eye towards accelerating the realization of scalable technology.  We will explore new directions beyond the traditional anyon community, embracing relevant topics such as quantum cellular automata, fractons, categorical symmetries and motion groups in 3-dimensions. The participants will be a mixture of world experts and early career researchers from several fields in mathematics and physics from across the globe.

This registration site is for those who were contacted directly.

If you register on this site, and did not receive instruction from ICMS to do so, your place will be cancelled and refunded.

The International Conference on Stochastic Analysis and Applications (ICSAA) is a biannual on Stochastic Analysis. The first edition of this conference series was held in Washington in 2006, for past editions of ICSAA see https://www.math.uni-bielefeld.de/icsaa/#history. It is in the scope of the conference to embrace a wide breadth of topics in stochastic analysis and interplaying mathematical disciplines.

Payment to be made after you have been accepted as a participant only. Payment alone does not guarantee a place at this workshop.