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<div dir="auto"><div dir="auto">Dear all,</div><div dir="auto"><br></div><div dir="auto">as a part of the series of seminars "Insalate di Matematica", we remind you that today there is a seminar held by <b style="word-spacing:1px">Antonio Ioppolo</b><span style="word-spacing:1px"> (postdoc at</span> University of Milano-Bicocca).</div><div dir="auto">
<span style="color:rgb(0,0,0)">The seminar can be attended
<span style="color:rgb(0,0,0)"></span><u style="color:rgb(0,0,0)"><span>in</span> <span>person</span></u><span style="color:rgb(0,0,0)"> <span>in</span> room 3014 (building U5-Ratio, Università degli Studi di Milano-Bicocca)</span>
</span><span style="color:rgb(0,0,0)">or
<u style="color:rgb(0,0,0)">online</u><span style="color:rgb(0,0,0)"> (Webex access link below)</span></span><span style="color:rgb(0,0,0)">.<br>
The talk is<u> jointly organized with Al@Bicocca group</u> and it will be held <u>in Italian only</u>.
<br><br>
</span><div dir="auto"><i><b>Please note that the time in the last poster is uncorrect. The new poster with the right time is in the attachment.</b></i></div>
</div><div dir="auto"><br></div><div dir="auto"><br></div><div dir="auto">Here the details:</div><div dir="auto"><br></div><div dir="auto"><u>Speaker</u>: <b>Antonio Ioppolo (<span style="word-spacing:1px">postdoc at</span> University of Milano-Bicocca)</b></div><div dir="auto"><br></div><div dir="auto"><u>Date and time</u>: <b>17th October 2022, 3:00 pm (CET)</b></div><div dir="auto"><u><br></u></div><div dir="auto"><u>Title</u>: <i style="font-size:small;word-spacing:1px;background-color:rgb(241,194,50)">"Algebra, identities and other drugs"</i></div><div dir="auto"><br></div><div dir="auto"><u>Webex</u>: <a href="https://unimib.webex.com/unimib/j.php?MTID=ma33d332e700d8c81a31124cf7934ea8d" style="word-spacing:1px" rel="noreferrer" target="_blank">https://unimib.webex.com/unimib/j.php?MTID=ma33d332e700d8c81a31124cf7934ea8d</a></div><div dir="auto"><br></div><div dir="auto"><u>Abstract</u>: An identity is a symbolic expression involving operations and variables which is always satisfied when the variables are replaced in a given algebraic structure. I will start with a motivating example leading into the basic notions of the theory of polynomial identities in algebras. Then I will present the celebrated theorem of Amitsur and Levitzk (1950) stating that a certain standard polynomial is an identity for the algebra of square matrices. This initial combinatorial method proved to be limited until Regev introduced in 1972 a growth function measuring the size of</div>identities. This new analytic approach, combined with techniques from ring theory, combinatorics and representation theory of groups, forms one of the current points of view of the theory. Along the way I shall try to give an idea of the recent developments of the theory when one considers associative algebras endowed with some additional structure.<div dir="auto"><br></div><div dir="auto"><u>Keywords</u>: Algebras, identities, growth.</div><div dir="auto"><br></div></div><div dir="auto"><div dir="auto"><br></div><div dir="auto">** We inform you that the talk will be recorded and uploaded on our website. If you join the talk after the starting time, we kindly ask you to ensure that your microphone and webcam are turned off **</div><div dir="auto"><br></div><div dir="auto">For further information, please visit our website: <a href="https://sites.google.com/view/insalate-di-matematica" style="font-size:small;word-spacing:1px" rel="noreferrer" target="_blank">https://sites.google.com/view/insalate-di-matematica</a><span style="font-size:small;word-spacing:1px"> or contact us at </span><a href="mailto:insalate.matematica@unimib.it" style="font-size:small;word-spacing:1px" rel="noreferrer" target="_blank">insalate.matematica@unimib.it</a><span style="font-size:small;word-spacing:1px">.</span></div><div dir="auto"><br></div><div dir="auto">We are looking forward to seeing you!</div><div dir="auto"><br></div><div dir="auto">The organizers: <span style="word-spacing:1px">Andrea Bisterzo, Alberto Cassella, Bianca Marchionna, Andrea Rivezzi, Giovanni Siclari, Marta Tameni, Matteo Tarocchi, Marco Zullino.</span></div></div>
</div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">Il giorno mer 12 ott 2022 alle ore 11:32 Mbs Insalate Di Matematica <<a href="mailto:insalate.matematica@unimib.it" target="_blank">insalate.matematica@unimib.it</a>> ha scritto:<br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div dir="ltr"><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">Dear all,<br><i><br></i></font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">"<span style="font-style:italic">Insalate</span><i> di Matematica" </i>seminars are back again for this academic year. </font></span><b style="color:rgb(0,0,0)">Antonio Ioppolo</b><span style="color:rgb(0,0,0)">, postdoc at</span><span style="color:rgb(0,0,0);word-spacing:0px"> University of Milano-Bicocca,</span><font style="color:rgb(0,0,0);word-spacing:0px"><span style="word-spacing:1px"> will launch the new season of talks. </span></font></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">The seminar <font face="arial, sans-serif">will be held online and it will also be broadcast in room 3014 (building U5-Ratio, Università degli Studi di Milano-Bicocca). The seminar is jointly organized with Al@Bicocca group. The talk will be held in <i><b>Italian only</b></i>.</font><br></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>: </font></span><b style="color:rgb(0,0,0)">17th</b><b style="color:rgb(0,0,0)"> of October 2022, 3:00 pm (CET)</b></div><div dir="auto" style="word-spacing:1px"><b style="color:rgb(0,0,0)"><br></b></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)">"Algebra, identities and other drugs</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></font></span>An identity is a symbolic expression involving operations and variables</div>which is always satisfied when the variables are replaced in a given algebraic<br>structure. I will start with a motivating example leading into the basic notions of the<br>theory of polynomial identities in algebras. Then I will present the celebrated theorem<br>of Amitsur and Levitzk (1950) stating that a certain standard polynomial is an identity<br>for the algebra of square matrices. This initial combinatorial method proved to be<br>limited until Regev introduced in 1972 a growth function measuring the size of<br>identities. This new analytic approach, combined with techniques from ring theory,<br>combinatorics and representation theory of groups, forms one of the current points<br>of view of the theory. Along the way I shall try to give an idea of the recent<br>developments of the theory when one considers associative algebras endowed with<br>some additional structure.<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"><br></span></font></span></div><div dir="ltr"><div dir="auto"><u style="color:rgb(0,0,0);word-spacing:1px">Keywords</u><span style="color:rgb(0,0,0);word-spacing:1px">: </span>Algebras, identities, growth.<br></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"></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: </font></span><a href="https://unimib.webex.com/unimib/j.php?MTID=ma33d332e700d8c81a31124cf7934ea8d" target="_blank">https://unimib.webex.com/unimib/j.php?MTID=ma33d332e700d8c81a31124cf7934ea8d</a></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" rel="noreferrer" target="_blank">https://sites.google.com/view/<span>insalate</span>-di-matematica</a> or contact us at <a href="mailto:insalate.matematica@unimib.it" rel="noreferrer" target="_blank"><span>insalate</span>.matematica@unimib.it</a>.</font></span></div><div dir="auto" style="word-spacing:1px"><br></div><div style="word-spacing:1px">The organizers: Andrea Bisterzo, Alberto Cassella, Bianca Marchionna, Andrea Rivezzi, Giovanni Siclari, Marta Tameni, Matteo Tarocchi, Marco Zullino.</div></div></div>
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