Addendum: Testing structural balance theories in heterogeneous signed networks
 Gallo, A Garlaschelli, D Lambiotte, R Saracco, F Squartini, T Communications Physics volume 7 issue 1 312-312 (20 Sep 2024)
Morpho-mechanics of pressurized cellular sheets
 Chandler, T Ferria, J Shorthose, O Allain, J Maiolino, P Boudaoud, A Vella, D (19 Sep 2024)
Tue, 15 Oct 2024
14:30
L6

Undergraduate Summer Project Presentations: Computational experiments in the restricted universal enveloping algebra of sl 2

Joel Thacker
((University of Oxford))
Abstract

The problem of finding an explicit description of the centre of the restricted universal enveloping algebra of sl2 for a general prime characteristic p is still open. We use a computational approach to find a basis for the centre for small p. Building on this, we used a special central element t to construct a complete set of (p+1)/2 orthogonal primitive idempotents e_i, which decompose Z into one 1-dimensional and (p-1)/2 3-dimensional subspaces e_i Z. These allow us to compute e_i N as subspaces of the e_i Z, where N is the largest nilpotent ideal of Z. Looking forward, the results perhaps suggest N is a free k[T] / (T^{(p-1)/2}-1)-module of rank 2.

Log Neural Controlled Differential Equations: The Lie Brackets Make a Difference
 Walker, B McLeod, A Qin, T Cheng, Y Li, H Lyons, T Proceedings of Machine Learning Research volume 235 49822-49844 (01 Jan 2024)

Finance and Management Consultancy Fair

12 noon - 4 pm, Friday 11 October, Examination Schools

Meet representatives from over 60 recruiting organisations, explore the jobs and internships open now for applications, and gain insight into the diverse careers available in the finance and consulting sectors. Specialist Oxford University careers advisers will also be present at the Fair, so you can find out more about how they can support you on your career journey. Find out more

Whiteboard love

When we started putting our students lectures on YouTube and social media we knew there would be comments - positive, negative, funny, not so funny. But we weren't ready for one question that kept cropping up. So finally we've decided to answer it. 

Here's a film about whiteboards.

Café π news - yoghart bar and nicked cutlery

Looking for a delicious, healthy start to your day? We’re excited to announce the launch of our Yoghurt Bar at Café π.

Starting 30th September, join us every Monday to Friday from 8:30 am to 11:00 am for a serving of creamy natural yoghurt topped with your choice of three delicious toppings - all for just £2.60.

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