Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An introduction to relative Calabi-Yau structures   These are notes taken by the second author for a series of three lectures by
the first author on absolute and relative Calabi-Yau completions and Calabi-Yau
structures given at the workshop of the International Conference on
Representations of Algebras which was held online in November 2020. Such
structures are relevant for (higher) representation theory as well as for the
categorification of cluster algebras with coefficients. After a quick reminder
on dg categories and their Hochschild and cyclic homologies, we present
examples of absolute and relative Calabi-Yau completions (in the sense of
Yeung). In many examples, these are related to higher preprojective algebras in
the sense of Iyama-Oppermann. We conclude with the definition of relative (left
and right) Calabi-Yau structures after Brav-Dyckerhoff.

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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: stat