Fri, 13 Jun 2025
13:00
L5

The Likelihood Correspondence

Hal Schenck
(Auburn University)
Abstract

An arrangement of hypersurfaces in projective space is strict normal crossing if and only if its Euler discriminant is nonzero. We study the critical loci of all Laurent monomials in the equations of the smooth hypersurfaces. These loci form an irreducible variety in the product of two projective spaces, known in algebraic statistics as the likelihood correspondence and in particle physics as the scattering correspondence. We establish an explicit determinantal representation for the bihomogeneous prime ideal of this variety.

Joint work with T. Kahle, B. Sturmfels, M. Wiesmann

Further mechanistic insights into the trophic design of free-living mites
 Bowman, C Acarologia
Using teletriage to model the risk of hospital admission at the time of registration in an emergency department
 Arora, S Taylor, J Omega volume 138 (07 Jun 2025)
Thu, 12 Jun 2025
17:00
L3

Hrushovski constructions in ordered fields

Yilong Zhang
(Universitat Bonn)
Abstract
Hrushovski constructions are a variant of amalgamation methods. They were invented to construct new examples of strongly minimal theories. The method was later adapted to expansions of fields, including colored fields and powered fields. In this talk, I will present my attempt to apply Hrushovski constructions to ordered fields. I will construct an expansion of RCF by a dense multiplicative subgroup (green points). Hrushovski constructions induce a back-and-forth system, enabling us to study the dp-rank and the open core of this structure. I will also introduce my recent progress on powered fields, an expansion of RCF by "power functions" on the unit circle, and my plan to axiomatize expansions of the real field using Hrushovski constructions.
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Fluid Relaxation Approximation of the Busenberg-Travis Cross-Diffusion System.
 Carrillo, J Chen, X Du, B Jüngel, A Communications in mathematical physics volume 406 issue 7 151 (03 Jan 2025)
Individualised Counterfactual Examples Using Conformal Prediction
Intervals
 Adams, J Reinert, G Szpruch, L Maple, C Elliott, A (28 May 2025) http://arxiv.org/abs/2505.22326v1
Counting sumsets and sum-free sets modulo a prime
 Green, B Ruzsa, I Studia Scientiarum Mathematicarum Hungarica volume 41 issue 3 285-293 (09 Sep 2004)
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