Abstracts / R ' Esum ' Es De Conf ' Erences
Bibliographic record
Abstract
S / R ' ESUM ' ES DE CONF ' ERENCES JEFFERY-WILLIAMS LECTURE / CONF ' ERENCE JEFFERY-WILLIAMS GEORGE ELLIOTT, Department of Mathematics, University of Toronto, Toronto, Ontario M5S 3G3, Canada (also affiliated with the Fields Institute and the University of Copenhagen) C -algebras---the first fifty years It is now seventy years since the publication of von Neumann's bicommutant theorem, which might be said to be the beginning of operator algebra theory. During this time, not only have von Neumann algebras--- the bicommutants, or double centralizers, of self-adjoint sets of bounded operators in Hilbert space---been studied---in some settings exhaustively---but also, especially in the last fifty years, general norm-closed selfadjoint subalgebras of such operators have been considered. In both categories, the so-called amenable objects are of special interest. Work of Connes and others has resulted in a surprisingly complete theory of amenable von Neumann algebras, including,...
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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 | 0.001 | 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 | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.005 | 0.001 |
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".