<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>

<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">Giovedì 5 novembre 2015</span><span style="font-size:16pt;font-family:'Times New Roman',serif"></span></p>

<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">ore 11:00</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>

<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">Pisa</span></p>

<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 Tonelli </span></p>

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<pre style="text-align:center"><span class=""><span style="font-size:9.5pt;font-family:Arial,sans-serif;background-image:initial;background-repeat:initial"> </span></span><b><span style="font-size:24pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial">Ben Sharp </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">Centro De Giorgi, SNS</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>

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<p class="MsoNormal" align="center" style="text-align:center"><b><span lang="EN-US" style="font-size:22pt;font-family:'Times New Roman',serif">“<span style="background-image:initial;background-repeat:initial">Quantitative
and qualitative control of minimal hypersurfaces with bounded index and area</span></span>”</b></p>

<p class="MsoNormal" align="center" style="text-align:center"><b><span lang="EN-US" style="font-size:22pt;font-family:'Times New Roman',serif"> </span></b></p>

<p class="MsoNormal" style="text-align:justify"><b><span lang="EN-US" style="font-family:'Times New Roman',serif">Abstract:</span></b></p>

<p class="MsoNormal" style="text-align:justify"><font face="arial, helvetica, sans-serif"><i><span lang="EN-US" style="background-image:initial;background-repeat:initial">Due to the work of
Almgren-Pitts (and Schoen-Simon) we know that there exists at least one closed
minimal embedded hypersurface in any closed Riemannian manifold; moreover a
conjecture of Yau suggests that there should be infinitely many. This has been
confirmed recently by the work of Marques-Neves in the case that the ambient
manifold has positive Ricci curvature. There are therefore many open problems
concerned with understanding the space of minimal hypersurfaces in a Riemannian
manifold.</span></i><i><span lang="EN-US"><br>
<span style="background-image:initial;background-repeat:initial">In this talk we will discuss some compactness
theorems for minimal hypersurfaces with bounded index and area; in particular
we prove that the total curvature is quantised by the limit hypersurface and
finitely many properly embedded minimal hypersurfaces in Euclidean space. Easy
corollaries of this result lead to qualitative estimates on topology and total
curvature for minimal hypersurfaces with bounded index and area. Most of the
work we present is joint with Reto Müller.</span></span></i></font><i><span lang="EN-US" style="font-family:'Times New Roman',serif"></span></i></p>

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<p class=""><i><span lang="EN-US" style="font-family:'Times New Roman',serif"> </span></i></p>

<p class=""><i><span lang="EN-US" style="font-family:'Times New Roman',serif"> </span></i></p>

<p class=""><span style="font-size:16pt;font-family:'Times New Roman',serif">Tutti gli
interessati sono invitati a partecipare.</span></p>

<p class=""><span style="font-size:16pt;font-family:'Times New Roman',serif"> </span></p>

<p class=""><span style="font-size:16pt;font-family:'Times New Roman',serif">Classe di Scienze
Matematiche e Naturali</span></p><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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