math.DG · 2026-08-03 · No. 73

Differential Geometry, 2026-08-03.

1 new papers in math.DG. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    A user's guide to PINNs in geometric analysis: lessons from the asymptotic Plateau problem

    Tancredi Schettini Gherardini

    math.DG · cs.AI · hep-th · math.AP

    This proceedings contribution elaborates on the findings of arXiv:2605.26234v2: a joint work with Marco Usula, where we introduced a machine learning framework based on physics-informed neural networks (PINNs), aimed at constructing near-minimal discs in hyperbolic space asymptotic to a prescribed knot at infinity. We used this method to provide numerical evidence for a conjecture of Joel Fine relating minimal surfaces in $H^{4}$ to the...

    arxiv.org/abs/2607.28733 · PDF

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