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Description: |
This work is mainly motivated by the modern approach to the deformation theory of associative algebras.
The idea is to unify notions of different <i>\infty</i>-algebras, such as <I>A<sub>\infty</sub></i>-algebras or <i>B<sub>\infty</sub></i>-algebras. The situation is usually as follows. We have a monad <i>M</i> and a comonad <I>N</i> on a category <i>C</i> with a distributive law <i>\lambda\colon MN\to NM</i> between them. Then we consider the category of <i>M<sup>N</sup></i>-algebras, where <i>M<sup>N</sup></i>-algebra is just an object <i>A</i> of <i>C</i> together with a structure of <i>M</i>-algebra on <i>NA</i>. It turns out that under mild conditions on <i>C</i> there exists indeed a monad <i>M<sup>N</sup></i> that justifies the notion of <i>M<sup>N</sup></i>-algebra.
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Date: |
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| Start Time: |
15:00 |
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Speaker: |
Ivan Yudin (CMUC)
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Institution: |
CMUC
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Place: |
Sala 5.5
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| Research Groups: |
-Algebra, Logic and Topology
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See more:
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<Main>
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