Given an FP-infinity subgroup G of SL(2,C), we are interested in the asymptotic behavior of the cohomology of G with coefficients in an irreducible complex representation V of SL(2,C). We prove that, as the dimension of V grows, the dimensions of these cohomology groups approximate the L2-Betti numbers of G. We make no further assumptions on G, extending a previous result of W. Fu. This yields a new method to compute those Betti numbers for finitely generated hyperbolic 3-manifold groups. We will give a brief idea of the proof, whose main tool is a completion of the universal enveloping algebra of the p-adic Lie algebra sl(2, Zp).

Many justifications can be offered for the study of the history of mathematics. Here we focus on three, each of them illustrated by a specific historical example: it can aid in the learning of mathematics; it can prompt the development of new mathematics; and last but certainly not least – it's fun and interesting!

Despite the stereotype of the lone genius working by themselves, most professional mathematicians collaborate with others. But when you're learning maths as a student, is it OK to work with other people, or is that cheating? How do you build the skills and confidence to collaborate effectively? And where does AI fit into all this? In this session, we'll explore ways in which you can get the most out of collaborations with your fellow students, whilst avoiding inadvertently passing off other people's work as your own.

In this interactive session, Jenny Roberts from the Institute of Mathematics and its Applications will offer guidance on what employers are looking for in mathematical graduates, and how best to sell yourself for those jobs!

Exploring fascinating mathematics more independently by doing a Part B project or dissertation can be one of the most exciting and rewarding parts of undergraduate study. Supervision meetings are one of the main tools for making the most of this experience.

In this Fridays@2 session, a panel of staff and students with experience in Part B projects and dissertations will share practical tips on how to prepare, communicate effectively, and tackle common challenges. Whether you’re currently working on a project, planning one, or just curious, join us for insights and an interactive Q&A.