Meetings/Workshops on Algebra in the United Kingdom

University of Glasgow

Algebra & Representation Theory, Mathematical Physics, Number Theory, Operator Algebras, Analysis, Topology, Algebraic Geometry, Group Theory, Combinatorics

The fascinating survey on the representation theory of finite groups written by R. Brauer in 1963 starts in the following way: "It has been said by E. T. Bell that “wherever groups disclosed themselves or could be introduced, simplicity crystallized out of comparative chaos.” This may often be true, but, strangely enough, it does not apply to group theory itself, not even when we restrict ourselves to groups of finite order.” Much has been achieved since the publication of this survey, for example, the Classification of Finite Simple Groups was completed, but still we do not know, for instance, if the number of irreducible characters in a Brauer p-block is bounded by the size of its defect group. Stated as Problem 20 in Brauer’s survey, this is now known as the k(B)-conjecture. Also, we still do not know if a block with only height zero characters has an abelian defect group (that is, one implication of the height zero conjecture, Problem 23 in Brauer’s list, is still open).

Mathematics Institute, University of Warwick

This workshop will be dedicated to developing more packages for the mathematics software package Macaulay2. Macaulay2 novices are welcome.

University of Hull, Department of Mathematics

We are pleased to announce a one day conference dedicated to Hanna Neumann (1914 – 1971). It will be held at University of Hull, 12 June 2020.

Hanna Neumann was an outstanding mathematician whose research has significantly influenced the development of modern group theory. Her key achievements were in combinatorial group theory, and her book ‘Varieties of Groups’ (Springer 1967) is now a recognised classic. Hanna’s academic career was closely tied to the University of Hull, where she worked from 1946 until 1958. The conference includes lectures and a number of public events. Further details will be posted on the conference webpage.

Email: a.detinko@hull.ac.uk

Group Theory,    Geometry and Topology

University of Kent

In this conference we aim to bring together postgraduate researchers working on various areas of Lie theory, such as classical representation theory, diagrammatic and 2-categorical Lie theory and algebraic geometry (such as homogenous spaces). Our goal is to create a friendly and supportive environment for postgraduate students to present their work, see other people’s work and discuss ideas that could be useful in their research. Moreover postgraduate students will have the opportunity to attend talks from experienced researchers in the area.

This final workshop will aim to bring all strands of the programme together. There will be speakers covering aspects of all the main themes, focussing particularly on the simple groups: representation theory, subgroup structure, fusion systems and local group theory, computational algebra, and connections with other areas. The workshop will particularly celebrate the great influence of the work of Michael Aschbacher and Robert Guralnick on all of these themes.

Institute of Mathematics & its Applications (IMA)

The IMA is pleased to announce the Seventh Biennial IMA Conference on Numerical Linear Algebra and Optimization. The meeting is co-sponsored by SIAM, whose members will receive the IMA members’ registration rate. The success of modern codes for large-scale optimization is heavily dependent on the use of effective tools of numerical linear algebra. On the other hand, many problems in numerical linear algebra lead to linear, nonlinear or semidefinite optimization problems. The purpose of the conference is to bring together researchers from both communities and to find and communicate points and topics of common interest. Conference topics include any subject that could be of interest to both communities

International Centre for Mathematical Sciences, Edinburgh; UK

Andrew Ranicki and his theory of algebraic surgery played a central role in linking manifold theory, algebraic K-theory, and its close cousin L-theory. These areas have seen great developments and advances in the last decade from distinct research communities. This workshop will bring together mathematicians working on the topology of high-dimensional manifolds and their automorphisms with those working on the algebraic K-theory (and its cousins hermitian K-theory and L-theory) of rings and ring spectra, in order to share recent progress in these areas and kindle a fresh interaction between them.

Geometry and Topology,    Graph Theory and Combinatorics