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<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)">Nell'ambito del progetto <i>Se mi narri di Matematica</i>, vi invitiamo al nostro prossimo seminario multimediale.</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0);min-height:17px"><br></p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)">Data e ora: <b>8 febbraio 2021, ore 16:15<span> (ora esatta)</span></b></p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)">Speaker: <span style="white-space:pre-wrap"> </span>Alberto Roncoroni (Universidad de Granada)<span> </span></p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)">Titolo: <span style="white-space:pre-wrap"> </span><i>Around the Brunn-Minkowski inequality</i></p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)">Abstract:<span> </span></p>
<p style="margin:0px;text-align:justify;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)">The talk is devoted to a classical subject in the fields of convex geometry and functional inequalities: the Brunn-Minkowski inequality.<span> </span>In simple terms,<span> </span>it relates the volume of the (Minkowski) sum of two compact sets with the sum of the volumes of the sets.<span> </span></p>
<p style="margin:0px;text-align:justify;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)">In the talk two proofs of the Brunn-Minkowski inequality will be shown: the first one is a geometric proof based on the study of boxes and the second one is a more analytical proof (based on the so-called Prekopa-Leinder inequality). Then, the fact that the Brunn-Minkowski inequality quickly yields to the isoperimetric one will be presented. Also the case of more general variational functional (e.g. the first Dirichlet eigenvalue of the Laplace operator, the capacity, and the torsional rigidity) will be discussed in the talk.<span> </span></p>
<p style="margin:0px;text-align:justify;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)">Finally, if time permits, the recent and so-called L<span style="font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:9.3px;line-height:normal"><sup>P</sup></span>-Brunn-Minkowski inequality conjectured by Böröczky,<span> </span>Lutwak,<span> </span>Yang, and Zhang will be presented.</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0);min-height:17px"><br></p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)"><b>Aula Beltrami,</b> Dipartimento di Matematica.</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0);min-height:17px"><br></p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)">oppure</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0);min-height:17px"><br></p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)">Link Zoom: <a href="https://us02web.zoom.us/j/83869626279" target="_blank">https://us02web.zoom.us/j/83869626279</a></p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)"><b>Meeting ID: 838 6962 6279</b></p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)"><b>Passcode: 514678</b></p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0);min-height:17px"><br></p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)"><span style="text-decoration-line:underline">Informazioni importanti riguardo allo svolgimento dei seminari:</span></p>
<ul>
<li style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)"><span><b>per coloro che intendono presenziare al seminario di persona, </b>si avvisa che, per le attuali disposizioni, l'accesso è consentito a un numero massimo di 40 persone. Non è necessario passare dal punto di misurazione della temperatura, ma<b> verrà chiesto di segnalare il proprio nominativo su apposito registro, che verrà conservato per i 14 giorni successivi</b>;</span></li>
<li style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)"><span>a causa delle misure di sicurezza della piattaforma Zoom, <b>è necessario inserire il passcode</b> per poter partecipare alla sessione;</span></li>
<li style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)"><span>nel caso in cui il meeting si interrompesse per problemi di natura tecnica, seguiranno istruzioni pubblicate sia sul sito (<a href="https://euler.unipv.it/seminaridott/" target="_blank"><span style="color:rgb(16,60,192)">https://euler.unipv.it/seminaridott/</span></a>), sia sulla pagina facebook (<a href="https://www.facebook.com/seminarri/" target="_blank"><span style="color:rgb(16,60,192)">https://www.facebook.com/seminarri/</span></a>);</span></li>
<li style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)"><span>il seminario verrà registrato e il video verrà caricato sul sito. Partecipando all'evento si dà il consenso ad essere registrati.</span></li>
<li style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)"></li>
</ul>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)">Tutte le informazioni e gli aggiornamenti si trovano anche sulla pagina web (<a href="http://matematica.unipv.it/seminaridott/index.html" target="_blank">https://euler.unipv.it/seminaridott/</a>) e su quella facebook (<a href="https://www.facebook.com/seminarri/" target="_blank">https://www.facebook.com/seminarri/</a>).</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)">L'invito si estende a tutti gli interessati.</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0);min-height:17px"><br></p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)"><span style="white-space:pre-wrap"> </span>gli organizzatori</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)"><span style="white-space:pre-wrap"> </span>Mai, Silvia, Federico e Stefano</p><p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:14px;line-height:normal;font-family:Helvetica;color:rgb(0,0,0)"><br></p></div>