Multiple timescale dynamics of network adaptation with constraints.
Martens, E
Bick, C
Chaos
volume 35
issue 10
(01 Oct 2025)
https://www.ncbi.nlm.nih.gov/pubmed/41129608
Many systems that govern crucial aspects of our lives can be seen as interacting dynamical units. This includes systems on a vast variety of scales, from billions of tiny interacting neural cells that are a critical part of our brain to the large scale communication networks that keep our world running. While we may understand the behaviour of each dynamical unit, it is crucial to understand the emergent collective dynamics of all units together.
Mon, 03 Nov 2025
16:00
16:00
C3
Abelian number fields with restricted ramification and rational points on stacks
Julie Tavernier
(University of Bath)
Abstract
A conjecture by Malle gives a prediction for the number of number fields of bounded discriminant. In this talk I will give an asymptotic formula for the number of abelian number fields of bounded height whose ramification type has been restricted to lie in a given subset of the Galois group and provide an explicit formula for the leading constant. I will then describe how counting these number fields can be viewed as a problem of counting rational points on the stack BG and how the existence of such number fields is controlled by a Brauer-Manin obstruction. No prior knowledge of stacks is needed for this talk!