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 distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.004 | 0.000 |
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 teacher head, 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".