Cohomology of Finite Groups: Interactions and Applications
Bibliographic record
Abstract
The aim of this meeting was to bring together people from different fields in which the cohomology of finite groups is an important tool. Several such meetings have taken place in the past (for example at Oberwolfach in 2000) and they have contributed substantially to the development of interactions between such fields, in particular between commutative algebra, homological algebra, homotopy theory, modular representation theory and transformation groups. \smallskip The meeting was attended by 54 participants from about a dozen countries. There were 24 talks of various length. Several of them were directly concerned with the cohomology of finite groups, but beyond that there were talks in which the relation of the cohomology of finite groups with other topics was emphasized: among them talks on the cohomology of infinite groups, of quantum groups and of local rings, on functor cohomology, on transformation groups and p -compact groups, on homological algebra and triangulated categories, on endotrivial modules in modular representation theory and on the Alperin conjecture as well as on K -theory, on invariant theory, on commutative algebra and relations to stable homotopy theory. \smallskip The schedule allowed for enough time for extensive and lively interactions between the participants. Besides the traditional and popular Wednesday afternoon hike (during a week with an exceptionally nice weather) an excellent concert was organized on Thursday evening by some of the participants of the conference. As always the very pleasant and stimulating atmosphere at the institute contributed to make this a very successful meeting.
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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 | 0.000 | 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) | 0.000 | 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".