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Results tagged with operads
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user 586
9
votes
How universal is operadic approach to studying algebras?
For operads of sets (i.e. operads where the operations of each arity form a set rather than, say, a vector space or topological space), it's well-understood which algebraic theories can be obtained. … For operads of vector spaces, I guess there are similar theorems. …
- 27.7k
5
votes
Maps between operads of different arities
This doesn't mean that finitary algebraic theories are 'better' than operads, because there's a trade-off: the contexts in which it's possible to talk about algebras are successively narrower. …
- 27.7k
4
votes
When do PROP-morphisms induce adjunctions?
I don't know the answer to that question, but I know the answer to some similar questions.
The simplest (which you probably know about) is that if f: A --> B is a map of (small) categories and C has …
- 27.7k
12
votes
Are there prominent examples of operads in schemes?
Mikhail Kapranov's invited lecture at the 1998 ICM was about exactly this:
Mikhail Kapranov, Operads and algebraic geometry. Documenta Mathematica Extra Volume ICM II (1998), 277-286. … Abstract:
The study (motivated by mathematical physics) of algebraic varieties related to the moduli spaces of curves, helped to uncover important connections with the abstract algebraic theory of operads …
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