Thu, 05 Jun 2025

11:00 - 12:00
C5

Relativistically invariant wave equations in the realist theory

Tristram de Piro
Abstract
Boris Zilber showed that you can build a logical structure around the relativistic Klein-Gordon and Dirac equations from quantum field theory. I will present the parallel realist theory, favoured by Einstein, to the Copenhagen interpretation. Starting from the requirements of Rutherford's principle for atomic systems and Maxwell's equations, I will show that there exist unique relativistically invariant wave equations for charge and current, with non-vacuum solutions, which predict the proportionality in the Balmer series.
Thu, 29 May 2025

11:00 - 12:00
C5

Fields with the absolute Galois group of Q

Jochen Koenigsmann
(University of Oxford)
Abstract
This is a report on work in progress aiming to prove the conjecture that if the absolute Galois group of a field K is isomorphic to that of \Q then K admits a (possibly trivial) henselian valuation with divisible value group and residue field \Q. What I can prove is that such a field K has a unique ordering and unique p-adic valuations, and that K satisfies Cebotarev's density theorem, Kronecker-Weber, Hasse-Minkowski, quadratic reciprocity etc.
We will show that our conjecture is equivalent to the birational version of Grothendieck's Section Conjecture over \Q, and we will discuss a model theoretic strengthening of our conjecture.
Thu, 15 May 2025

11:00 - 12:00
C5

A criterion for sharpness of the Elekes-Szabó theorem in positive characteristic

Lucas Nistor
(École Normale Supérieure )
Abstract

We establish that a criterion based on ring-theoretic amenability is both necessary and sufficient for the abelian version of the Elekes-Szabó theorem to be sharp in the case of positive characteristic. Moreover, the criterion is always sufficient. We provide illustrative examples in the theories ACF_p and DCF_0.

FAB-PPI: Frequentist, Assisted by Bayes, Prediction-Powered Inference
 Cortinovis, S Caron, F
Pharmaceutical promotion and GP prescription behaviour
 Windmeijer, F Douven, R De Laat, E
How important is income in determining children's outcomes? A methodology review of econometric approaches
 Blow, L Goodman, A Kaplan, G Walker, I Windmeijer, F
Child Height, Health and Human Capital: Evidence using Genetic Markers
 Windmeijer, F von Hinke, S Davey Smith, G Lawlor, D Propper, C

Renaud Lambiotte elected Fellow of the Network Science Society

Congratulations to Renaud, elected as one of nine new Fellows for 2025 for "foundational contributions to network analysis and modeling, including community detection, the mathematics of random walks, and higher-order and multi-scale patterns in networks".

Large deformation of elastic capsules under uniaxial extensional flow
 Yariv, E Howell, P Stone, H Journal of Fluid Mechanics volume 1012 (09 Jun 2025)
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