<div dir="ltr"><p class="" style="text-align:center"><span style="font-size:18pt;font-family:'Times New Roman',serif">SEMINARIO
DI MATEMATICA</span></p>
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<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:'Times New Roman',serif">Martedì 14 luglio 2015</span><span style="font-size:16pt;font-family:'Times New Roman',serif"></span></p>
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<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><u><span style="font-size:16pt;font-family:'Times New Roman',serif">Scuola Normale Superiore</span></u></p>
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<p class="MsoNormal" align="center" style="margin-left:9pt;text-align:center;line-height:18pt"><span style="font-size:16pt;font-family:'Times New Roman',serif">Aula Bianchi Scienze</span></p>
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<pre style="text-align:center"><b><span style="font-size:22pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial">Luca Martinazzi</span></b></pre><pre style="text-align:center"><i><span style="font-size:12pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial">University of Basel</span></i></pre><pre style="text-align:center"><i><span style="font-size:12pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial"> </span></i></pre>
<p class="MsoNormal" align="center" style="text-align:center"><span style="font-size:16pt;font-family:'Times New Roman',serif">Terrà un
seminario dal titolo:</span></p>
<pre style="text-align:center;background-image:initial;background-repeat:initial"><b><span lang="EN-US" style="font-size:22pt;font-family:'Times New Roman',serif"> </span></b></pre><pre style="text-align:center;background-image:initial;background-repeat:initial"><b><span lang="EN-US" style="font-size:22pt;font-family:'Times New Roman',serif">“The fractional Liouville equation in </span></b></pre><pre style="text-align:center;background-image:initial;background-repeat:initial"><b><span lang="EN-US" style="font-size:22pt;font-family:'Times New Roman',serif">dimension 1 - Compactness and</span></b></pre><pre style="text-align:center;background-image:initial;background-repeat:initial"><b><span lang="EN-US" style="font-size:22pt;font-family:'Times New Roman',serif">quantization”</span></b></pre>
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<p class="MsoNormal" style="text-align:justify"><b><span lang="EN-US" style="font-family:'Times New Roman',serif">Abstract:</span></b></p>
<pre style="text-align:justify;background-image:initial;background-repeat:initial"><i><span lang="EN-US" style="font-size:12pt;font-family:'Times New Roman',serif">In this talk I will introduce the fractional Liouville equation on the circle S<sup>1</sup> and its geometric interpretation in terms of conformal immersions of the unit disk into the complex plane. Using this interpretation we can show that the solution of the fractional Liouville equation have very precise compactness properties (including quantization) with a clear geometric counterpart. I will also compare these result with analogue ones for the classical Liouville equation in dimension 2, used to prescribe the Gaussian curvature.</span></i></pre><pre style="text-align:justify;background-image:initial;background-repeat:initial"><i><span lang="EN-US" style="font-size:12pt;font-family:'Times New Roman',serif">This is a joint work with Tristan Riviere and Francesca Da Lio.</span></i></pre>
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<p class=""><span style="font-size:16pt;font-family:'Times New Roman',serif">Tutti gli
interessati sono invitati a partecipare.</span></p>
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<span style="font-size:16pt;font-family:'Times New Roman',serif">Classe di Scienze Matematiche e Naturali </span><div><font face="Times New Roman, serif"><span style="font-size:21.3333339691162px"><br clear="all"></span></font><div><div class="gmail_signature"><div dir="ltr"><div>Valeria Giuliani</div><div>Scuola Normale Superiore</div><div>Servizio alla Didattica e Allievi</div><div>tel. 050 509260</div><div>Piazza dei Cavalieri, 7</div><div>56126 Pisa</div><div>E-mail: <a href="mailto:valeria.giuliani@sns.it" target="_blank">valeria.giuliani@sns.it</a></div><div>E-mail: <a href="mailto:classi@sns.it" target="_blank">classi@sns.it</a></div></div></div></div>
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