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Belief dynamics has an important role in shaping our responses to natural and societal phenomena, ranging from climate change and pandemics to immigration and conflicts. Researchers often base their models of belief dynamics on analogies to other systems and processes, such as epidemics or ferromagnetism. Similar to other analogies, analogies for belief dynamics can help scientists notice and study properties of belief systems that they would not have noticed otherwise (conceptual mileage). However, forgetting the origins of an analogy may lead to some less appropriate inferences about belief dynamics (conceptual baggage). Here, we review various analogies for modeling belief dynamics, discuss their mileage and baggage, and offer recommendations for using analogies in model development.
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Vector bundles on algebraic varieties
We survey recent developments related to the problem of classifying vector bundles on algebraic varieties. We focus on the striking analogies between topology and algebraic geometry, and the way in which the Morel–Voevodsky motivic homotopy category can be used to exploit those analogies.
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- Award ID(s):
- 2101898
- PAR ID:
- 10515625
- Editor(s):
- Beliaev, D; Smirnov, S
- Publisher / Repository:
- EMS Press
- Date Published:
- Journal Name:
- Proceedings of the International Congress of Mathematicians
- ISBN:
- 978-3-98547-561-2
- Subject(s) / Keyword(s):
- Algebraic geometry
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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- Free Publicly Accessible Full Text
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Accepted Manuscript1.0
- Conference Proceeding:
- https://doi.org/10.4171/icm2022/98
