Jens von Bergmann (University of Calgary),
Bibliographic record
Abstract
In this report, we remember our dearest friend and colleague, Pit-Mann Wong. It was his inspiration which lead to the proposal for this workshop and its organization. In the weeks before the workshop, he was diagnosed with a severe form of liver cancer, and was unable to attend the workshop; unfortunately, he has since passed away, on July 3 of this year. We will remember him and miss him. 1 Overview of the Field The Kobayashi metric is a key intrinsic quantity associated to complex manifolds, if it is nondegenerate then the manifold is said to be hyperbolic; the study of hyperbolicity is central in much of complex geometry. This workshop aimed to extend notions and theorems regarding hyperbolicity to the (much more general) area of almost-complex and symplectic geometry, thus finding a range of applications to an exciting field of modern mathematics. Let (M, J) be an almost complex manifold and ∆r, r> 0, be the disc of radius r, centered at the origin, in the complex plane C. At a point x ∈ M and a tangent vector v ∈ TxM, denote by Hol(∆r,M)(x, v) the space of all J-holomorphic curves from ∆r into M with the properties that f(0) = x and f ′ (0) = v. The J-Kobayashi pseudo-metric is defined by κJ(x, v) = inf 1
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.002 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.002 | 0.002 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.004 | 0.003 |
| Open science | 0.001 | 0.003 |
| Research integrity | 0.002 | 0.003 |
| Insufficient payload (model declined to judge) | 0.143 | 0.140 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".