During the early growth of the brain, an extraordinary process takes place where axons, neurons, and nerves extend, grow, and connect to form an intricate network that will be used for all brain activities and cognitive processes. A fundamental scientific question is to understand the laws that these growing cells follow to find their correct target.
The Farrell-Jones conjecture for hyperbolic-by-cyclic groups
Abstract
Most of the talk will be about the Farrell-Jones conjecture from the point of view of an outsider. I'll try to explain what the conjecture is about, why one wants to know it, and how to prove it in some cases. The motivation for the talk is my recent work with Fujiwara and Wigglesworth where we prove this conjecture for (virtually torsion-free hyperbolic)-by-cyclic groups. If there is time I will outline the proof of this result.
Round up, the Oxford Mathematics Annual Newsletter, is a calculated attempt to describe our lives, mathematical and non-mathematical, over the past 12 months. From a summary of some of our research into the Coronavirus to a moving tribute to Peter Neumann by Martin Bridson, via articles on diversity, fantasy football and of course our Nobel Prize winner (pictured), it throws a little light, we hope, on what we did during the year that was 2020.