<div dir="ltr">Inoltro questa informazione.<div>Cordiali saluti,<br><div>PC<br><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">---------- Forwarded message ---------<br>Da: <strong class="gmail_sendername" dir="auto">Cassani Daniele</strong> <span dir="auto"><<a href="mailto:daniele.cassani@uninsubria.it">daniele.cassani@uninsubria.it</a>></span><br>Date: mar 21 gen 2020 alle ore 15:02<br>Subject: RISM course February 24-28, 2020<br>To: <a href="mailto:adami.riccardo@gmail.com">adami.riccardo@gmail.com</a> <<a href="mailto:adami.riccardo@gmail.com">adami.riccardo@gmail.com</a>>, Donatelli Marco <<a href="mailto:marco.donatelli@uninsubria.it">marco.donatelli@uninsubria.it</a>>, Adriana Garroni <<a href="mailto:garroni@mat.uniroma1.it">garroni@mat.uniroma1.it</a>>, Irene Sabadini <<a href="mailto:irene.sabadini@polimi.it">irene.sabadini@polimi.it</a>>, Thomas Weigel <<a href="mailto:thomas.weigel@unimib.it">thomas.weigel@unimib.it</a>>, <a href="mailto:pierluigi.colli@unipv.it">pierluigi.colli@unipv.it</a> <<a href="mailto:pierluigi.colli@unipv.it">pierluigi.colli@unipv.it</a>>, Vieri Mastropietro <<a href="mailto:vieri.mastropietro@unimi.it">vieri.mastropietro@unimi.it</a>>, <a href="mailto:coord_mat@dm.unipi.it">coord_mat@dm.unipi.it</a> <<a href="mailto:coord_mat@dm.unipi.it">coord_mat@dm.unipi.it</a>><br>Cc: bernhard.ruf <<a href="mailto:bernhard.ruf@unimi.it">bernhard.ruf@unimi.it</a>>, Franco Tomarelli <<a href="mailto:franco.tomarelli@polimi.it">franco.tomarelli@polimi.it</a>>, Capuzzo Dolcetta, Italo <<a href="mailto:capuzzo@mat.uniroma1.it">capuzzo@mat.uniroma1.it</a>>, <a href="mailto:isabeau@mat.uniroma1.it">isabeau@mat.uniroma1.it</a> <<a href="mailto:isabeau@mat.uniroma1.it">isabeau@mat.uniroma1.it</a>>, Angela Pistoia <<a href="mailto:angela.pistoia@uniroma1.it">angela.pistoia@uniroma1.it</a>>, Susanna Terracini <<a href="mailto:susanna.terracini@gmail.com">susanna.terracini@gmail.com</a>><br></div><br><br>
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<span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span>
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<span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px">Cari coordinatori
delle scuole di dottorato partner dei RISM courses,</span></div>
<span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;color:rgb(33,33,33);display:inline;font-family:Verdana,Geneva,sans-serif;font-size:15px;font-size-adjust:none;margin-bottom:0px;margin-top:0px"></span><span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span>
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<span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;color:rgb(33,33,33);display:inline;font-family:Verdana,Geneva,sans-serif;font-size:15px;font-size-adjust:none;margin-bottom:0px;margin-top:0px"></span><span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span>
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<font color="#000032" face="Verdana,Geneva,sans-serif"><b>Italo Capuzzo Dolcetta </b>
</font><font face="Verdana,Geneva,sans-serif"><span style="border-color:currentColor;margin-top:0px;margin-bottom:0px;font-size-adjust:none">terrà un
</span><span style="border-color:currentColor;margin-top:0px;margin-bottom:0px;font-size-adjust:none">corso intensivo di dottorato a Varese
</span><span style="border-color:currentColor;margin-top:0px;margin-bottom:0px;font-size-adjust:none">presso la
</span><span style="border-color:currentColor;margin-top:0px;margin-bottom:0px;font-size-adjust:none;background-color:rgb(255,238,148)">RISM</span><span style="border-color:currentColor;margin-top:0px;margin-bottom:0px;font-size-adjust:none"> nella settimana
24-28 Febbraio 2020,</span><span style="border-color:currentColor;margin-top:0px;margin-bottom:0px;font-size-adjust:none"> inizio delle lezioni ore 10.30, dal titolo:</span></font></div>
<span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;color:rgb(33,33,33);display:inline;font-family:Verdana,Geneva,sans-serif;font-size:15px;font-size-adjust:none;margin-bottom:0px;margin-top:0px"></span><span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span>
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<span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;color:rgb(33,33,33);display:inline;font-family:Verdana,Geneva,sans-serif;font-size:15px;font-size-adjust:none;margin-bottom:0px;margin-top:0px"></span><span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span>
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<span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px">“</span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;display:inline;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px;text-align:center">Maximum
Principle and detours</span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px">”</span></div>
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<font face="Verdana,Geneva,sans-serif">in fondo segue breve descrizione. S<span style="border-color:currentColor;margin-top:0px;margin-bottom:0px;font-size-adjust:none">i possono trovare ulteriori informazioni e aggiornamenti al sito </span></font></div>
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<font face="Verdana,Geneva,sans-serif"></font><font face="Verdana,Geneva,sans-serif"></font><br>
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<span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;color:rgb(33,33,33);display:inline;font-family:Verdana,Geneva,sans-serif;font-size:15px;font-size-adjust:none;margin-bottom:0px;margin-top:0px"></span><span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span>
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<font size="3"><a style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-size-adjust:none;margin-bottom:0px;margin-top:0px" href="http://www.rism.it/" rel="noopener noreferrer" target="_blank"><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px">www.</span><span style="background-color:rgb(255,238,148);border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px">rism</span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px">.it</span></a><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px"> </span></font></div>
<span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;color:rgb(33,33,33);display:inline;font-family:Verdana,Geneva,sans-serif;font-size:15px;font-size-adjust:none;margin-bottom:0px;margin-top:0px"></span><span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span>
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<font face="Times New Roman, Times, serif" size="3"><br>
<span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px"></span></font></div>
<span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;color:rgb(33,33,33);display:inline;font-family:Verdana,Geneva,sans-serif;font-size:15px;font-size-adjust:none;margin-bottom:0px;margin-top:0px"></span><span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span>
<div style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-size-adjust:none;margin-bottom:0px;margin-top:0px">
<span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px">Oltre agli studenti
dell'Insubria, il corso è offerto a tutti gli studenti di dottorato e assegnisti interessati
<span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;color:rgb(33,33,33);display:inline;font-size-adjust:none;margin-bottom:0px;margin-top:0px">
(</span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;color:rgb(33,33,33);display:inline;font-size-adjust:none;margin-bottom:0px;margin-top:0px">eventualmente
anche </span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;color:rgb(33,33,33);display:inline;font-size-adjust:none;margin-bottom:0px;margin-top:0px">laureandi
magistrali molto motivati) </span>. A seguito delle lezioni del prof. Capuzzo Dolcetta, gli studenti nel pomeriggio avranno a disposizione un ambiente confortevole e stimolante per studiare e confrontarsi su affini temi di ricerca. </span></div>
<span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;color:rgb(33,33,33);display:inline;font-family:Verdana,Geneva,sans-serif;font-size:15px;font-size-adjust:none;margin-bottom:0px;margin-top:0px"></span><span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span>
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<span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px"></span></div>
<span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;color:rgb(33,33,33);display:inline;font-family:Verdana,Geneva,sans-serif;font-size:15px;font-size-adjust:none;margin-bottom:0px;margin-top:0px"></span><span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span>
<div style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-size-adjust:none;margin-bottom:0px;margin-top:0px">
<span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px">Per iscriversi (gratuitamente)
inviare un’email a </span></div>
<span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;color:rgb(33,33,33);display:inline;font-family:Verdana,Geneva,sans-serif;font-size:15px;font-size-adjust:none;margin-bottom:0px;margin-top:0px"></span><span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span>
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<span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px">Visto il successo
degli anni </span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px">scorsi
nelle precedenti tre edizioni (U. </span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px">Mosco,
A. </span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px">Cellina,
V. Benci</span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px">)
</span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px">che ha visto
la partecipazione di studenti provenienti da Milano, Pavia, Pisa, Roma, Torino, </span>
<span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px">tra cui anche alcuni
</span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px">stranieri
in visita presso tali Atenei, </span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px">auspichiamo
che quest’iniziativa a favore delle scuole di dottorato si consolidi come appuntamento annuale e che accolga la partecipazione di nuove scuole di dottorato. </span></div>
<span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;color:rgb(33,33,33);display:inline;font-family:Verdana,Geneva,sans-serif;font-size:15px;font-size-adjust:none;margin-bottom:0px;margin-top:0px"></span><span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span>
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La</span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px"> RISM mette
a disposizione un numero limitato di borse di studio: le persone interessate devono mandare richiesta con CV a
<span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;color:rgb(33,33,33);font-size-adjust:none;margin-bottom:0px;margin-top:0px">
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dare ampia diffusione a tutti i possibili interessati, anche tra i colleghi e altre scuole di dottorato,</span></div>
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per un Prosperoso 2020,</span></div>
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<span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;color:rgb(33,33,33);display:inline;font-family:Verdana,Geneva,sans-serif;font-size:15px;font-size-adjust:none;margin-bottom:0px;margin-top:0px"></span><span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span>
<p style="margin-top:0px;margin-bottom:0px"><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px"></span></p>
<span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span><span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;color:rgb(33,33,33);display:inline;font-family:Verdana,Geneva,sans-serif;font-size:15px;font-size-adjust:none;margin-bottom:0px;margin-top:0px"></span><span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span>
<div style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-size-adjust:none;margin-bottom:0px;margin-top:0px">
<span style="border-bottom-color:currentColor;border-left-color:currentColor;border-right-color:currentColor;border-top-color:currentColor;font-family:Verdana,Geneva,sans-serif;font-size-adjust:none;margin-bottom:0px;margin-top:0px">Daniele Cassani</span></div>
<span style="display:inline!important;background-color:rgb(255,255,255);font-family:"Times New Roman",Times,serif,"EmojiFont","Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;font-size:12pt;font-size-adjust:none"></span><br>
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<p align="center" style="margin:0cm 0cm 6pt;font-family:"Times New Roman","serif";font-size:12pt;text-align:center">
<b><span lang="EN-US" style="font-size:10.0pt;color:black">Maximum Principle and Detours (by Italo Capuzzo Dolcetta), February 24<sup>th</sup> - 28<sup>th</sup>, 2020 at RISM - Varese</span></b></p>
<p style="margin:0cm 0cm 6pt;font-family:"Times New Roman","serif";font-size:12pt">
<b><span lang="EN-US" style="font-size:10.0pt;color:black"><u></u> <u></u></span></b></p>
<p style="margin:0cm 0cm 6pt;font-family:"Times New Roman","serif";font-size:12pt">
<span lang="EN-US" style="font-size:10.0pt;color:black">The topic of this RISM course will be the validity, at different levels of generality, of the maximum Principle for elliptic degenerate operators and possible applications. The
course will include the following main topics:<span> </span>
</span></p>
<ol style="margin-bottom:0cm">
<li><span lang="EN-US" style="font-size:10.0pt;color:black">Elementary cases: linear, convex and harmonic funtions.
</span></li><li><span lang="EN-US" style="font-size:10.0pt;color:black">Maximum Principle for uniformly elliptic operators on bounded domains. The theorem Alexandrov-Bakelman-Pucci (ABP). Applications and a priori estimates.
</span></li><li><span lang="EN-US" style="font-size:10.0pt;color:black">Generalized subharmonic funtions, super-solutions in the sense of Calabi, viscosity supersolutions. Nonlinear version of th ABP theorem.
</span></li><li><span lang="EN-US" style="font-size:10.0pt;color:black">Maximum Principle for fully nonlinear operators on bounded domains.
</span></li><li><span lang="EN-US" style="font-size:10.0pt;color:black">Discrete Perron-Frobenius’ theory. Collatz-Wielandt representation formulas. On the validity of the Maximum Principle and positivity of
<span> </span>the principal eigenvalue.</span><br>
<br>
<span lang="EN-US" style="font-size:10.0pt"><u></u> <u></u></span><br>
<br>
<u><span lang="EN-US" style="font-size:10.0pt;color:black">Bibliography:</span></u><br>
<br>
<span lang="EN-US" style="font-size:10.0pt;color:black">[1] M. Protter and H. Weinberger, <i>Maximum Principles in Differential Equations</i>, Prentice-Hall, 1967</span><br>
<br>
<span lang="EN-US" style="font-size:10.0pt;color:black">[2] D. Gilbarg and N. Trudinger, <i>Elliptic Partial Differential Equations of Second Order</i>, Springer, 1983</span><br>
<br>
<span lang="EN-US" style="font-size:10.0pt;color:black">[3] L. Hormander, <i>Notions of Convexity, </i>Modern Birkhauser Classics, Birkhauser Basel, 1994</span><br>
<br>
<span lang="EN-US" style="font-size:10.0pt;color:black">[4] L. Caffarelli and X. Cabré, <i>Fully Nonlinear Elliptic Equations,</i> Colloquium Publications, Vo. 43, AMS 1995</span><br>
<br>
<span lang="EN-US" style="font-size:10.0pt;color:black">[5] M. G. Crandall, H. Ishii and P. L. Lions, <i>User's Guide to Viscosity Solutions of Second Order Partial Differential Equations</i>, Bulletin Ams, Vol. 27, No. 1, 1992</span><br>
<br>
<span lang="EN-US" style="font-size:10.0pt;color:black">[6] M. Bardi, I. Capuzzo Dolcetta, <i>Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations</i>, Modern Birkhauser Classics, Birkhauser Basel, 2008</span><br>
<br>
<span lang="EN-US" style="font-size:10.0pt;color:black">[7] H. </span><span lang="EN-US" style="font-size:10.0pt;color:#222222">Berestycki, L. Nirenberg, and S.R.S. Varadhan,
<i>The principal eigenvalue and maximum principle for second-order elliptic operators in general domains</i>. Comm. Pure Appl. Math. 47 (1994), no. 1</span><br>
<br>
<span lang="EN-US" style="font-size:10.0pt;color:#222222">[8] </span><span lang="EN-US" style="font-size:10.0pt;color:black">I. Capuzzo-Dolcetta, F. Leoni, A. Vitolo, <i>The Alexandrov-Bakelman-Pucci weak maximum
principle for fully nonlinear equations in unbounded domains</i>, Communications in Partial Differential Equations 30 (12), 1863-1881, 2005</span><br>
<br>
<span lang="EN-US" style="font-size:10.0pt;color:black">[9] I. Capuzzo Dolcetta, A. Vitolo, <i>Directional ellipticity on special domains: weak Maximum and Phragmen-Lindel of principles, Nonlinear Analysis 184, 69-82, 2019</i></span><br>
<br>
<span lang="EN-US" style="font-size:10.0pt;color:black">[10] H. Berestycki, I. Capuzzo Dolcetta, A. Porretta, L. Rossi, <i>Maximum Principle and generalized principal eigenvalue for degenerate elliptic operators</i>, Journal de Mathématiques
Pures et Appliquées 103 (5), 1276-1293, 2015</span></li></ol>
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