<div dir="ltr"><div dir="ltr"><p dir="ltr" style="color:rgb(0,0,0);line-height:1.2;margin-top:0pt;margin-bottom:0pt"><font face="tahoma, sans-serif"><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Nell&#39;ambito del progetto </span><span style="font-size:11pt;font-style:italic;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Se mi narri di Matematica</span></font></p><font face="tahoma, sans-serif"><br style="color:rgb(0,0,0)"></font><p dir="ltr" style="color:rgb(0,0,0);line-height:1.2;margin-top:0pt;margin-bottom:0pt"><font face="tahoma, sans-serif"><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Data e ora: <b><u>oggi</u></b> </span><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap"><b>03 Giugno</b></span><span style="font-size:11pt;font-weight:700;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap"> 2021, ore 16:30 </span></font></p><p dir="ltr" style="color:rgb(0,0,0);line-height:1.2;margin-top:0pt;margin-bottom:0pt"><font face="tahoma, sans-serif"><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Speaker: </span><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">        Federico Girotti (Università di Pavia)</span></font></p><p dir="ltr" style="color:rgb(0,0,0);line-height:1.2;margin-top:0pt;margin-bottom:0pt"><font face="tahoma, sans-serif"><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Titolo:  </span><b>Un&#39;introduzione al linguaggio della probabilità non-commutativa</b></font></p><p dir="ltr" style="color:rgb(0,0,0);line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap"><font face="tahoma, sans-serif">Abstract: </font></span></p><pre style="white-space:pre-wrap;color:rgb(0,0,0);margin-top:0px;margin-bottom:0px"><font face="tahoma, sans-serif">La possibilità di interpretare un operatore lineare <i>autoaggiunto</i> su di uno spazio di Hilbert come una variabile aleatoria non-commutativa risiede nel teorema spettrale: dopo qualche cenno al caso finito dimensionale, lo scopo del talk è quello di introdurre la nozione di risoluzione spettrale e di presentare una prova del teorema spettrale in dimensione infinita che utilizza il <i>functional calculus</i> (per evitare tecnicismi, tratteremo solo il caso di operatori limitati). Se il tempo lo permetterà, introdurremo le <i>C*</i> e <i>W*</i>-algebre come naturali generalizzazioni non-commutative di spazi di funzioni continue e misurabili limitate, rispettivamente.</font></pre><br style="color:rgb(0,0,0)"><p dir="ltr" style="color:rgb(0,0,0);line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-weight:700;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Aula Beltrami,</span><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap"> Dipartimento di Matematica.</span></p><br style="color:rgb(0,0,0)"><p dir="ltr" style="color:rgb(0,0,0);line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">oppure</span></p><br style="color:rgb(0,0,0)"><p dir="ltr" style="color:rgb(0,0,0);line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Link Zoom: </span><span style="color:rgb(34,34,34)"><font face="tahoma, sans-serif"><b><a href="https://us02web.zoom.us/j/86803829960" target="_blank">https://us02web.zoom.us/j/86803829960</a></b></font></span></p><br style="color:rgb(0,0,0)"><p dir="ltr" style="color:rgb(0,0,0);line-height:1.2;margin-top:0pt;margin-bottom:0pt"><font face="tahoma, sans-serif"><b>ID riunione: 868 0382 9960 </b></font></p><p dir="ltr" style="color:rgb(0,0,0);line-height:1.2;margin-top:0pt;margin-bottom:0pt"><font face="tahoma, sans-serif"><b>Passcode: 847671</b></font><br></p><br style="color:rgb(0,0,0)"><p dir="ltr" style="color:rgb(0,0,0);line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-style:italic;font-variant-ligatures:normal;font-variant-east-asian:normal;text-decoration:underline;text-decoration-skip:none;vertical-align:baseline;white-space:pre-wrap">Seguirà un piccolo rinfresco.</span></p><br style="color:rgb(0,0,0)"><p dir="ltr" style="color:rgb(0,0,0);line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;text-decoration:underline;text-decoration-skip:none;vertical-align:baseline;white-space:pre-wrap">Informazioni importanti riguardo allo svolgimento dei seminari:</span></p><ul style="color:rgb(0,0,0);margin-top:0px;margin-bottom:0px"><li dir="ltr" style="margin-left:15px;list-style-type:disc;font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap;padding-left:18pt"><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-weight:700;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline">per coloro che intendono presenziare al seminario di persona, </span><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline">si avvisa che, per le attuali disposizioni, l&#39;accesso è consentito a un numero massimo di 40 persone. Non è necessario passare dal punto di misurazione della temperatura, ma</span><span style="font-size:11pt;font-weight:700;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline"> verrà chiesto di segnalare il proprio nominativo su apposito registro, che verrà conservato per i 14 giorni successivi</span><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline">;</span></p></li><li dir="ltr" style="margin-left:15px;list-style-type:disc;font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap;padding-left:18pt"><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline">a causa delle misure di sicurezza della piattaforma Zoom, </span><span style="font-size:11pt;font-weight:700;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline">è necessario inserire il passcode</span><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline"> per poter partecipare alla sessione;</span></p></li><li dir="ltr" style="margin-left:15px;list-style-type:disc;font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap;padding-left:18pt"><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline">nel caso in cui il meeting si interrompesse per problemi di natura tecnica, seguiranno istruzioni pubblicate sia sul sito (</span><a href="https://euler.unipv.it/seminaridott/" target="_blank" style="text-decoration:none"><span style="font-size:11pt;color:rgb(16,60,192);font-variant-ligatures:normal;font-variant-east-asian:normal;text-decoration:underline;text-decoration-skip:none;vertical-align:baseline">https://euler.unipv.it/seminaridott/</span></a><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline">), sia sulla pagina facebook (</span><a href="https://www.facebook.com/seminarri/" target="_blank" style="text-decoration:none"><span style="font-size:11pt;color:rgb(16,60,192);font-variant-ligatures:normal;font-variant-east-asian:normal;text-decoration:underline;text-decoration-skip:none;vertical-align:baseline">https://www.facebook.com/seminarri/</span></a><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline">);</span></p></li><li dir="ltr" style="margin-left:15px;list-style-type:disc;font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap;padding-left:18pt"><p dir="ltr" style="line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline">il seminario verrà registrato e il video verrà caricato sul sito. Partecipando all&#39;evento si dà il consenso ad essere registrati.</span></p></li></ul><br style="color:rgb(0,0,0)"><p dir="ltr" style="color:rgb(0,0,0);line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Tutte le informazioni e gli aggiornamenti si trovano anche sulla pagina web (</span><a href="http://matematica.unipv.it/seminaridott/index.html" target="_blank" style="text-decoration:none"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;color:rgb(0,0,0);font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">https://euler.unipv.it/seminaridott/</span></a><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">) e su quella facebook (</span><a href="https://www.facebook.com/seminarri/" target="_blank" style="text-decoration:none"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;color:rgb(0,0,0);font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">https://www.facebook.com/seminarri/</span></a><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">).</span></p><p dir="ltr" style="color:rgb(0,0,0);line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">L&#39;invito si estende a tutti gli interessati.</span></p><br style="color:rgb(0,0,0)"><p dir="ltr" style="color:rgb(0,0,0);line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">        </span><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">gli organizzatori</span></p><p dir="ltr" style="color:rgb(0,0,0);line-height:1.2;margin-top:0pt;margin-bottom:0pt"><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">        </span><span style="font-size:11pt;font-family:&quot;Helvetica Neue&quot;,sans-serif;font-variant-ligatures:normal;font-variant-east-asian:normal;vertical-align:baseline;white-space:pre-wrap">Mai, Silvia, Federico e Stefano</span></p></div></div>