<div dir="ltr">Giro questa informazione ai dottorandi,<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 15 set 2020 alle ore 08:20<br>Subject: RISM course<br></div><br>
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<span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:inherit">Dear
Coordinators of PhD schools in partnership with RISM,</span></div>
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<span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:rgb(0,0,50)">the
conference activity of RISM will resume in the hybrid form which will involve a limited number of selected </span><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:rgb(0,0,50)"><b>participants
in presence and </b></span><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:rgb(0,0,50)">participants
who will have </span><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:rgb(0,0,50)"><b>virtual
seats </b></span><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:rgb(0,0,50)">in
the conference room at villa Toeplitz. The first appointment in this new format will be the </span><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:rgb(0,0,50)"><b>RISM
course by </b></span><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:rgb(0,0,50)"></span><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:rgb(0,0,50)"><b>Italo
Capuzzo Dolcetta</b><span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit"> </span>which
has been postponed because of the lockdown. T</span><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:rgb(0,0,50)">he
fourth edition of this intensive PhD lectures will be on </span><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:inherit;text-align:center"><b><span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">Maximum</span> <span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">Principle</span> and
Detours</b> (</span><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:rgb(0,0,50)">please
find content </span><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:rgb(0,0,50)">below)
and it </span><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:rgb(0,0,50)">has been
rescheduled in the week </span><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:rgb(0,0,50)"><b>November
16th-20th, 2020</b></span><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:rgb(0,0,50)">. </span></div>
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</span></div>
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<font face="Verdana,Geneva,sans-serif"><font color="#000032">Lectures will start at 10.30</font><span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit"> from
Monday to Friday. </span></font><span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit"> </span></div>
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<font color="rgba(0, 0, 0, 0)"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif,EmojiFont,"Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;vertical-align:baseline;color:inherit"></span></font><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:15px;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:rgb(33,33,33)"></span><font color="rgba(0, 0, 0, 0)"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif,EmojiFont,"Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;vertical-align:baseline;color:inherit"></span></font>
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<font face="Times New Roman,Times,serif" size="3"><br>
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<font color="rgba(0, 0, 0, 0)"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif,EmojiFont,"Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;vertical-align:baseline;color:inherit"></span></font><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:15px;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:rgb(33,33,33)"></span><font color="rgba(0, 0, 0, 0)"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif,EmojiFont,"Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;vertical-align:baseline;color:inherit"></span></font>
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<span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:inherit">The
course is offered to all interested PhD students and postdocs. After lectures, in the afternoon session, participants, in presence and virtual, will have a stimulating, safe and comfortable environment to study and share their research. </span><br>
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<font face="Verdana,Geneva,sans-serif"><span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">Interested
people have to apply by specifying if interested to participate in </span><b>presence </b><span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">or
from </span><b>remote </b><span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">by
sending an email with CV to </span></font><br>
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<font color="rgba(0, 0, 0, 0)"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif,EmojiFont,"Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;vertical-align:baseline;color:inherit"></span></font><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:15px;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:rgb(33,33,33)"></span><font color="rgba(0, 0, 0, 0)"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif,EmojiFont,"Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;vertical-align:baseline;color:inherit"></span></font>
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<font color="rgba(0, 0, 0, 0)"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif,EmojiFont,"Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;vertical-align:baseline;color:inherit"></span></font><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:15px;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:rgb(33,33,33)"></span><font color="rgba(0, 0, 0, 0)"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif,EmojiFont,"Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;vertical-align:baseline;color:inherit"></span></font>
<div style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">
<span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit"></span><font face="Verdana,Geneva,sans-serif"><a href="mailto:presidente@rism.it" rel="noopener noreferrer" style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline" target="_blank">presidente@rism.it</a></font><br>
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<font color="rgba(0, 0, 0, 0)"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif,EmojiFont,"Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;vertical-align:baseline;color:inherit"></span></font><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:15px;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:rgb(33,33,33)"></span><font color="rgba(0, 0, 0, 0)"><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:"Times New Roman",Times,serif,EmojiFont,"Apple Color Emoji","Segoe UI Emoji",NotoColorEmoji,"Segoe UI Symbol","Android Emoji",EmojiSymbols;vertical-align:baseline;color:inherit"></span></font>
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<b><u style="font-family:Verdana,Geneva,sans-serif">IMPORTANT</u><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-weight:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:inherit">:</span></b><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:inherit"> Participants
in presence will have lodging and local expenses covered by RISM and among them, a few s</span><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:inherit">elected
participants will be the recipient of </span><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:inherit"><b>500,00
Euro</b></span><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:inherit"> </span><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:inherit"><b>RISM
scholarship.</b></span><span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:inherit"> </span></div>
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regards, </span></div>
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<div style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">
<span style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:Verdana,Geneva,sans-serif;vertical-align:baseline;color:inherit">Daniele
Cassani</span></div>
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<b><span lang="en-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-weight:inherit;font-stretch:inherit;font-size:10pt;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit"><br>
</span></b></p>
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<b><span lang="en-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-weight:inherit;font-stretch:inherit;font-size:10pt;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit"><span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">Maximum</span> <span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-weight:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">Principle</span> and
Detours (by Italo Capuzzo Dolcetta), November 16<sup>th</sup> - 20<sup>th</sup>, 2020 at RISM - Villa Toeplitz, Varese</span></b></p>
<p style="font-family:"Times New Roman",serif;margin-top:0px;margin-bottom:6pt">
<span lang="en-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:10pt;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit">The
topic of this RISM course will be the validity, at different levels of generality, of the <span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">maximum</span> <span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">Principle</span> for
elliptic degenerate operators and possible applications. The course will include the following main topics:<span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit"> </span></span></p>
<ol style="margin-bottom:0px">
<li style="margin-left:15px"><span lang="en-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:10pt;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit">Elementary
cases: linear, convex and harmonic functions.</span></li><li style="margin-left:15px"><span lang="en-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:10pt;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit"><span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">Maximum</span> <span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">Principle</span> for
uniformly elliptic operators on bounded domains. The theorem Alexandrov-Bakelman-Pucci (ABP). Applications and a priori estimates.</span></li><li style="margin-left:15px"><span lang="en-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:10pt;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit">Generalized
subharmonic functions, super-solutions in the sense of Calabi, viscosity supersolutions. Nonlinear version of the ABP theorem.</span></li><li style="margin-left:15px"><span lang="en-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:10pt;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit"><span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">Maximum</span> <span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">Principle</span> for
fully nonlinear operators on bounded domains.</span></li><li style="margin-left:15px"><span lang="en-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:10pt;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit">Discrete
Perron-Frobenius’ theory. Collatz-Wielandt representation formulas. On the validity of the <span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">Maximum</span> <span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">Principle</span> and
positivity of <span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit"> </span>the
principal eigenvalue.</span><br>
<br>
<u><span lang="en-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:10pt;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit">Bibliography:</span></u><br>
<br>
<span lang="en-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:10pt;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit">[1]
M. Protter and H. Weinberger, <i><span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">Maximum</span> <span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">Principles</span> in
Differential Equations</i>, Prentice-Hall, 1967</span><br>
<br>
<span lang="en-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:10pt;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit">[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="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:10pt;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit">[3]
L. Hormander, <i>Notions of Convexity, </i>Modern Birkhauser Classics, Birkhauser Basel, 1994</span><br>
<br>
<span lang="en-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:10pt;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit">[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="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:10pt;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit">[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="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:10pt;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit">[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="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:10pt;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit">[7]
H. </span><span lang="en-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:10pt;line-height:inherit;font-family:inherit;vertical-align:baseline;color:rgb(34,34,34)">Berestycki,
L. Nirenberg, and S.R.S. Varadhan, <i>The principal eigenvalue and <span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">maximum</span> <span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">principle</span> 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="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:10pt;line-height:inherit;font-family:inherit;vertical-align:baseline;color:rgb(34,34,34)">[8] </span><span lang="en-US" style="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:10pt;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit">I.
Capuzzo-Dolcetta, F. Leoni, A. Vitolo, <i>The Alexandrov-Bakelman-Pucci weak <span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">maximum</span> <span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">principle</span> 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="margin:0px;padding:0px;border:0px;font-style:inherit;font-variant-ligatures:inherit;font-variant-caps:inherit;font-variant-numeric:inherit;font-variant-alternates:inherit;font-variant-east-asian:inherit;font-stretch:inherit;font-size:10pt;line-height:inherit;font-family:inherit;vertical-align:baseline;color:inherit">[9]
I. Capuzzo Dolcetta, A. Vitolo, <i>Directional ellipticity on special domains: weak <span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">Maximum</span> and Phragmen-Lindel
of <span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">principles</span>,
Nonlinear Analysis 184, 69-82, 2019</i></span><br>
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H. Berestycki, I. Capuzzo Dolcetta, A. Porretta, L. Rossi, <i><span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">Maximum</span> <span style="margin:0px;padding:0px;border:0px;font-family:inherit;font-size:inherit;font-style:inherit;font-variant-caps:inherit;font-stretch:inherit;line-height:inherit;vertical-align:baseline;color:inherit">Principle</span> 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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__<br>
Prof. Dr. Daniele Cassani<br>
Dip. di Scienza e Alta Tecnologia<br>
Università degli Studi dell’Insubria<br>
President of RISM - Riemann International School of Mathematics<br>
Villa Toeplitz, Via G.B. Vico, 46 <br>
21100 Varese - Italy <br>
Tel.: +39 0332 21 8771 <br>
Cell.: +39 333 3839224<br>
<a href="https://www.rism.it" target="_blank">www.rism.it</a></div>
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<a href="https://www.uninsubria.it/hpp/daniele.cassani" target="_blank">www.uninsubria.it/hpp/daniele.cassani<span style="color:rgb(0,0,0)"> </span></a><span style="color:rgb(0,0,0);letter-spacing:normal;text-transform:none;white-space:normal;word-spacing:0px"><br>
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