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<div dir="ltr"><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">As part of the series of seminars <i>"Insalate di Matematica"</i>, <b>Lorenzo Stefanello</b>, PhD student at <span style="word-spacing:0px">the Università degli Studi di Pisa</span><font style="word-spacing:0px"><span style="word-spacing:1px">, will deliver a talk. </span></font></font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">
The seminar will be held online and, according to the current Covid regulations, it will also be broadcast in room 3014 <b>(more information below)</b>
</font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">Here the details:</font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><u>Date and time</u>: <b>10th March 2022, 2:00 pm (CET)</b></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><u><br></u></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><u>Title</u>: <i style="background-color:rgb(241,194,50)">"Hopf algebras, Galois modules, and skew braces</i><span style="background-color:rgb(241,194,50)"><i>"</i></span><i><br><span style="background-color:rgb(241,194,50)"></span></i></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div dir="ltr"><span style="color:rgb(0,0,0)"><font size="2"><u style="word-spacing:1px">Abstract</u><span style="word-spacing:1px">:</span> In this talk, we deal with a quite recent and active area of
Mathematics connecting different theories by mean of apparently distant
topics: Hopf algebras (abstract algebra), Galois modules (number
theory), and skew braces (group theory). </font></span><span style="color:rgb(0,0,0)"><font size="2">For each part we give the main definitions, we overview the
important results and connections with the other topics, and we present
open problems and directions.</font></span>
<div><span style="color:rgb(0,0,0)"><font size="2">At the end, we briefly discuss about a joint work with A. Caranti, where some new constructions are introduced. </font></span></div>
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</div><div dir="ltr"><span style="color:rgb(0,0,0)"><font size="2"><span style="font-family:Roboto,-apple-system,BlinkMacSystemFont,"Apple Color Emoji","Helvetica Neue",sans-serif"></span></font></span></div><div dir="ltr"><div dir="auto"><span style="color:rgb(0,0,0)"><font size="2"><u style="word-spacing:1px">Keywords</u><span style="word-spacing:1px">:</span> Hopf algebras - Hopf–Galois extensions - Galois modules - associated orders - skew braces - the Yang–Baxter equation
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<div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><b><u>Information to attend in room 3014<br></u></b></font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">The
seminar will also be broadcast in room 3014, at the building U5-Ratio,
Università degli Studi di Milano Bicocca. For the traceability of
persons present in the department, </font><font size="2">reservation is mandatory. You can reserve at the following link: <a href="https://sites.google.com/view/insalate-di-matematica/reservation?authuser=0" target="_blank">https://sites.google.com/view/insalate-di-matematica/reservation?authuser=0</a></font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">We also remind that you will be required to exhibit your green pass at the entrance of the building.</font></span></div>
<div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><b><u>Information to attend online</u></b></font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">The seminar will be streamed via Webex platform at the following link:
<span aria-label="Using command C or Ctrl C to copy the information" role="button" title="https://unimib.webex.com/unimib/j.php?MTID=m1fe93efc8e4f946ea70f4846a24df073"><a href="https://unimib.webex.com/unimib/j.php?MTID=m1fe93efc8e4f946ea70f4846a24df073" target="_blank">https://unimib.webex.com/unimib/j.php?MTID=m1fe93efc8e4f946ea70f4846a24df073</a></span>
(<i><u>Password</u></i>: Insalate)<br></font></span></div><div dir="auto"><span style="color:rgb(0,0,0)"><font size="2"><i><b>** We inform you that the talk will be recorded and uploaded on our website. If you join the talk <u>after the starting time</u>, we kindly ask you to ensure that <u>your microphone and webcam are turned off</u> **</b></i><br></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">You can find the poster of the event in the attachment. We are looking forward to seeing you! </font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">For further information, please visit our website: <a href="https://sites.google.com/view/insalate-di-matematica" target="_blank">https://sites.google.com/view/insalate-di-matematica</a> or contact us at <a href="mailto:insalate.matematica@unimib.it" target="_blank">insalate.matematica@unimib.it</a>.</font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br>The organizers: Luigi Appolloni, Andrea Bisterzo, Alberto Cassella, Francesca Cottini, Ludovico Marini</font></span></div></div></div>
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