Adaptive tuning of Hamiltonian Monte Carlo methods
Akhmatskaya, E Nagar, L Carrillo de la Plata, J Gavira Balmacz, L Inouzhe, H Parga Pazos, M Rodríguez Álvarez, M Applied Mathematical Modelling (08 Mar 2026)
Thu, 12 Mar 2026
11:00
C1

Some remarks on definable complex analysis

Alex Wilkie
(Oxford University)
Abstract
Peterzil and Starchenko began this by developing the basics of complex analysis (Cauchy’s theorem, Taylor series, residues…) within an arbitrary o-minimal expansion of a real closed field. I look at more advanced topics from such a definable viewpoint (eg the Riemann Mapping Theorem) although to make any progress I have to restrict myself to (o-minimal) expansions of the real field itself. I am, of course, motivated by Zilber’s quasiminimality conjecture.
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Partial differential equations (PDEs), often regarded as the language of physics and engineering, encode how quantities such as velocity, temperature, pressure, or concentration evolve in space and time. PDEs provide the mathematical framework through which we model the real world. Yet, even when the governing equations are known, predicting their behaviour can be challenging. Konstantin Riedl investigates.
Drift-Diffusion Matching: Embedding dynamics in latent manifolds of asymmetric neural networks
Nartallo-Kaluarachchi, R Lambiotte, R Goriely, A (16 Feb 2026)
Investigating the impact of macrophage lineage on atherosclerotic plaque development using an agent-based model
Jenner, A Reynolds, A Chambers, K Murphy, A Byrne, H Myerscough, M 2024 MATRIX Annals, Part II volume 8 233-250 (20 Feb 2026)
Sufficient Conditions for Stability of Minimum-Norm Interpolating Deep ReLU Networks
Harzli, O Nam, Y Kuzborskij, I Grau, B Louis, A (14 Feb 2026)
Orthogonal polynomials on path-space
Chevyrev, I Ferrucci, E Lee, D Lyons, T Oberhauser, H Tapia, N (21 Feb 2026)
Wed, 11 Mar 2026
12:45
TCC VC

Introduction to holographic renormalization

Alice Luscher
Abstract

Holographic renormalization provides a framework that makes the AdS/CFT correspondence computationally precise. It systematically resolves the divergences and ambiguities that arise when relating bulk gravitational actions to boundary correlation functions. In this seminar, I will review how correlation functions of a conformal field theory can be extracted from gravitational dynamics in asymptotically AdS spacetimes using this method. I will explain how divergences of the on-shell bulk action near the AdS boundary reflect ultraviolet divergences in the dual field theory, and how these are removed by introducing covariant boundary counterterms. The resulting renormalized action generates well-defined one- and two-point functions, while bulk interactions are encoded in Witten diagrams that compute higher-point correlators.

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