## Brief synopsis of the workshop

The purpose of the workshop is to establish connections and areas of possible collaborations between algebraists and combinatorists, working in the finite and infinite branches of their discipline.  There is no registration fee, but registration is required (click the above link to the registration page).

### Motivation

Many interesting infinite objects in algebra and combinatorics are constructed as a limit of finite structures (for example, inverse limits of groups, $p$-adic numbers, various limits of graphs) and often an efficient way to study the infinite object is by thorough understanding of the properties of the finite constituents. Conversely, universal infinite objects like algebraic groups can provide useful information about series of finite substructures, that are not available by working solely in the finite setting.

The three-day workshop will consist of a sequence of survey talks by leading national and international experts about their area of research, as well as shorter talks by other participants. Plenty of time will be left for small-group discussions, especially on the third day of the workshop, for exploring the possibilities of further interaction and formulating a plan for future joint activities of the various research groups.

### Speakers

The areas of expertise of the main speakers cover the proposed topics of the workshop: combinatorics, graph theory, group theory, and representation theory.

• Brendan McKay (ANU)
• Martin Liebeck (Imperial College, UK)
• Cheryl Praeger (UWA)
• Arun Ram (UniMelb)
• Ákos Seress (UWA)
• George Willis (Uni. Newcastle)