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| <title>Lax module functors, reconstruction, and Hopf algebras</title> | ||
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| <h1>Lax module functors, reconstruction, and Hopf algebras</h1> | ||
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| Click on the preview image for a full-scale version. | ||
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| <p></p> | ||
| <a href="./posters/ferrara2024/poster.pdf"> | ||
| <img class="pure-img" style="text-align: center; max-width: 30%;" src="./posters/ferrara2024/poster.png" alt="A preview of the poster"> | ||
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| The poster is based on the article <span class="citation" data-cites="stroinski2024:reconstr">[<a href="#ref-stroinski2024:reconstr" role="doc-biblioref">StZo</a>]</span>; | ||
| a repository with the full source code is available <a href="https://github.com/slotThe/ferrara2024">here</a>.<!-- | ||
| --><label for="sn-0" class="margin-toggle sidenote-number"></label><input type="checkbox" id="sn-0" class="margin-toggle" /><div class="sidenote">In the unlikely case that ever goes away before this website does, | ||
| <a href="./posters/ferrara2024/source.tar.gz" class="local-link">a tarball</a> is also available.</div><!-- | ||
| --> | ||
| <!-- References; site.hs does not have 'no-cite' support right now. --> | ||
| <p></p> | ||
| <span class="email"> | ||
| <b> | ||
| <span class="citation" data-cites="kelly74">[<a href="#ref-kelly74" role="doc-biblioref"><strong>kelly74?</strong></a>]</span> | ||
| <span class="citation" data-cites="hausser99:integ-theor-quasi-hopf-algeb">[<a href="#ref-hausser99:integ-theor-quasi-hopf-algeb" role="doc-biblioref">HaNi99</a>]</span> | ||
| <span class="citation" data-cites="Moerdijk2002">[<a href="#ref-Moerdijk2002" role="doc-biblioref">Moer02</a>]</span> | ||
| <span class="citation" data-cites="deligne02:categ">[<a href="#ref-deligne02:categ" role="doc-biblioref">Deli02</a>]</span> | ||
| <span class="citation" data-cites="ostrik03:modul-hopf">[<a href="#ref-ostrik03:modul-hopf" role="doc-biblioref">Ostr03</a>]</span> | ||
| <span class="citation" data-cites="ostrik04:tensor-p">[<a href="#ref-ostrik04:tensor-p" role="doc-biblioref">Ostr04</a>]</span> | ||
| <span class="citation" data-cites="Bruguieres2011">[<a href="#ref-Bruguieres2011" role="doc-biblioref">BrLaVi11</a>]</span> | ||
| <span class="citation" data-cites="saracco17:hopf">[<a href="#ref-saracco17:hopf" role="doc-biblioref">Sara17</a>]</span> | ||
| <span class="citation" data-cites="halbig23:diagr-comod-monad">[<a href="#ref-halbig23:diagr-comod-monad" role="doc-biblioref">HaZo24</a>]</span> | ||
| </b> | ||
| </span> | ||
| <h2 id="references">References<a href="#references" class="floatleft sec-link">§</a></h2> | ||
| <div id="refs" class="references csl-bib-body" role="list"> | ||
| <table> | ||
| <tbody> | ||
| <tr class="odd"> | ||
| <td><div id="ref-Bruguieres2011" class="csl-entry" role="listitem"> | ||
| <div class="csl-left-margin">[BrLaVi11] </div> | ||
| </div></td> | ||
| <td> </td> | ||
| <td><div class="csl-right-inline"><span class="smallcaps">Alain Bruguières</span> and <span class="smallcaps">Steve Lack</span> and <span class="smallcaps">Alexis Virelizier</span>: <a href="https://doi.org/10.1016/j.aim.2011.02.008">Hopf monads on monoidal categories</a>. In: <em>Advances in Mathematics</em> vol. 227 (2011), Nr. 2, pages 745–800</div></td> | ||
| </tr> | ||
| <tr class="even"> | ||
| <td><div id="ref-deligne02:categ" class="csl-entry" role="listitem"> | ||
| <div class="csl-left-margin">[Deli02] </div> | ||
| </div></td> | ||
| <td> </td> | ||
| <td><div class="csl-right-inline"><span class="smallcaps">P. Deligne</span>: <a href="https://www.ams.org/distribution/mmj/vol2-2-2002/abst2-2-2002.html">Cat<span>é</span>gories tensorielles. (<span>Tensor</span> categories)</a>. In: <em>Mosc. Math. J.</em> vol. 2 (2002), Nr. 2, pages 227–248</div></td> | ||
| </tr> | ||
| <tr class="odd"> | ||
| <td><div id="ref-hausser99:integ-theor-quasi-hopf-algeb" class="csl-entry" role="listitem"> | ||
| <div class="csl-left-margin">[HaNi99] </div> | ||
| </div></td> | ||
| <td> </td> | ||
| <td><div class="csl-right-inline"><span class="smallcaps">Frank Hausser</span> and <span class="smallcaps">Florian Nill</span>: <a href="https://arxiv.org/abs/math/9904164"><span>I</span>ntegral <span>T</span>heory for <span>Q</span>uasi-<span>H</span>opf <span>A</span>lgebras</a>. In: <em>arXiv e-prints</em> (1999)</div></td> | ||
| </tr> | ||
| <tr class="even"> | ||
| <td><div id="ref-halbig23:diagr-comod-monad" class="csl-entry" role="listitem"> | ||
| <div class="csl-left-margin">[HaZo24] </div> | ||
| </div></td> | ||
| <td> </td> | ||
| <td><div class="csl-right-inline"><span class="smallcaps">Sebastian Halbig</span> and <span class="smallcaps">Tony Zorman</span>: <span>D</span>iagrammatics for <span>C</span>omodule <span>M</span>onads. In: <em>Applied Categorical Structures</em>, to appear (2024)</div></td> | ||
| </tr> | ||
| <tr class="odd"> | ||
| <td><div id="ref-Moerdijk2002" class="csl-entry" role="listitem"> | ||
| <div class="csl-left-margin">[Moer02] </div> | ||
| </div></td> | ||
| <td> </td> | ||
| <td><div class="csl-right-inline"><span class="smallcaps">Ieke Moerdijk</span>: <a href="https://doi.org/10.1016/S0022-4049(01)00096-2">Monads on tensor categories</a>. In: <em>J. Pure Appl. Algebra</em> vol. 168 (2002), Nr. 2-3, pages 189–208. — Category theory 1999 (Coimbra)</div></td> | ||
| </tr> | ||
| <tr class="even"> | ||
| <td><div id="ref-ostrik03:modul-hopf" class="csl-entry" role="listitem"> | ||
| <div class="csl-left-margin">[Ostr03] </div> | ||
| </div></td> | ||
| <td> </td> | ||
| <td><div class="csl-right-inline"><span class="smallcaps">Viktor Ostrik</span>: <a href="https://doi.org/10.1007/s00031-003-0515-6">Module categories, weak <span>Hopf</span> algebras and modular invariants</a>. In: <em>Transform. Groups</em> vol. 8 (2003), Nr. 2, pages 177–206</div></td> | ||
| </tr> | ||
| <tr class="odd"> | ||
| <td><div id="ref-ostrik04:tensor-p" class="csl-entry" role="listitem"> | ||
| <div class="csl-left-margin">[Ostr04] </div> | ||
| </div></td> | ||
| <td> </td> | ||
| <td><div class="csl-right-inline"><span class="smallcaps">Victor Ostrik</span>: <a href="https://arxiv.org/abs/math/0401347"><span>T</span>ensor categories (after <span>P</span>. <span>D</span>eligne)</a>. In: <em>arXiv e-prints</em> (2004)</div></td> | ||
| </tr> | ||
| <tr class="even"> | ||
| <td><div id="ref-saracco17:hopf" class="csl-entry" role="listitem"> | ||
| <div class="csl-left-margin">[Sara17] </div> | ||
| </div></td> | ||
| <td> </td> | ||
| <td><div class="csl-right-inline"><span class="smallcaps">Paolo Saracco</span>: <a href="https://doi.org/10.1007/s10485-015-9408-9">On the structure theorem for quasi-<span>Hopf</span> bimodules</a>. In: <em>Appl. Categ. Struct.</em> vol. 25 (2017), Nr. 1, pages 3–28</div></td> | ||
| </tr> | ||
| <tr class="odd"> | ||
| <td><div id="ref-stroinski2024:reconstr" class="csl-entry" role="listitem"> | ||
| <div class="csl-left-margin">[StZo] </div> | ||
| </div></td> | ||
| <td> </td> | ||
| <td><div class="csl-right-inline"><span class="smallcaps">Mateusz Stroiński</span> and <span class="smallcaps">Tony Zorman</span>: Reconstruction of module categories in the infinite and non-rigid settings, Forthcoming.</div></td> | ||
| </tr> | ||
| </tbody> | ||
| </table> | ||
| </div> | ||
| </div> | ||
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| --- | ||
| title: Lax module functors, reconstruction, and Hopf algebras | ||
| bib: true | ||
| no-toc: true | ||
| no-comment: true | ||
| --- | ||
|
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||
| Click on the preview image for a full-scale version. | ||
| <div style="text-align: center"> | ||
| <a href="./posters/ferrara2024/poster.pdf"> | ||
| <img class="pure-img" | ||
| style="text-align: center; max-width: 30%;" | ||
| src="./posters/ferrara2024/poster.png" | ||
| alt="A preview of the poster"> | ||
| </a> | ||
| </div> | ||
|
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| The poster is based on the article [@stroinski2024:reconstr]; | ||
| a repository with the full source code is available [here][ghub:source-code].[^1] | ||
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| <!-- References; site.hs does not have 'no-cite' support right now. --> | ||
| <span class="email"> | ||
| <b> | ||
| [@kelly74] | ||
| [@hausser99:integ-theor-quasi-hopf-algeb] | ||
| [@Moerdijk2002] | ||
| [@deligne02:categ] | ||
| [@ostrik03:modul-hopf] | ||
| [@ostrik04:tensor-p] | ||
| [@Bruguieres2011] | ||
| [@saracco17:hopf] | ||
| [@halbig23:diagr-comod-monad] | ||
| </b> | ||
| </span> | ||
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| [ghub:source-code]: https://github.com/slotThe/ferrara2024 | ||
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| [^1]: In the unlikely case that ever goes away before this website does, | ||
| [a tarball](./posters/ferrara2024/source.tar.gz) is also available. |
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