<div dir="ltr"><div class="gmail_default" style="font-family:verdana,sans-serif"><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"><b><span style="font-size:16pt;font-family:'Times New Roman',serif">giovedì 12 maggio 2016</span></b><b><span style="font-size:16pt;font-family:'Times New Roman',serif"></span></b></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 Fermi</span></p>
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<p class="MsoNormal" align="center" style="text-align:center"><b><i><span style="font-size:26pt;font-family:'Times New Roman',serif">Lucas Ambrozio</span></i></b></p>
<p class="MsoNormal" align="center" style="text-align:center"><i><span style="font-family:'Times New Roman',serif">Imperial
College London</span></i><i><span style="font-family:'Times New Roman',serif"></span></i></p>
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<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><i><span lang="EN-GB" style="font-size:28pt;font-family:'Times New Roman',serif">“</span></i></b><b><span lang="EN-GB" style="font-size:28pt;font-family:'Times New Roman',serif">Morse index and Betti numbers of minimal hypersurfaces</span></b><b><i><span lang="EN-GB" style="font-size:28pt;font-family:'Times New Roman',serif">”</span></i></b><b><span lang="EN-GB" style="font-size:28pt;font-family:'Times New Roman',serif"></span></b></p>
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<p class="MsoNormal" style="text-align:justify"><b><i><span lang="EN-GB" style="font-size:10pt;font-family:'Times New Roman',serif"> </span></i></b></p>
<p class="MsoNormal" style="text-align:justify"><b><i><span lang="EN-GB" style="font-size:10pt;font-family:'Times New Roman',serif">Abstract:</span></i></b></p>
<p class="MsoNormal" style="text-align:justify"><i><span lang="EN-GB" style="font-family:'Times New Roman',serif">As critical points of the area
functional, minimal hypersurfaces of Riemannian manifolds have a well-defined
Morse index. In many situations, the knowledge of the index can be used to
derive conclusions about the geometry and topology of the hypersurface itself.
In this talk, we will show that under certain conditions on the ambient
manifold, the index of its minimal hypersurfaces grows linearly with their
first Betti numbers. The hypothesis on the ambient manifold are flexible enough
to include all compact symmetric spaces of rank one and small graphical
perturbations of the round sphere, for example. This is a joint work with A.
Carlotto and B. Sharp.</span></i><b><i><span lang="EN-GB" style="font-size:10pt;font-family:'Times New Roman',serif"></span></i></b></p>
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<p class="MsoNormal" style="text-align:justify"><span style="font-size:16pt;font-family:'Times New Roman',serif">Tutti gli interessati sono invitati a
partecipare.</span></p>
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<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"> </span></p>
<p class=""><span style="font-size:16pt;font-family:'Times New Roman',serif"> Classe
di Scienze</span></p>
<p class=""><span style="font-size:16pt;font-family:'Times New Roman',serif"> Matematiche
e Naturali</span></p></div><div><br></div>-- <br><div class="gmail_signature"><div dir="ltr"><div><div dir="ltr"><div><div dir="ltr"><span style="color:rgb(84,141,212);font-family:Cambria,serif;font-size:9pt"><br></span></div><div dir="ltr"><span style="color:rgb(84,141,212);font-family:Cambria,serif;font-size:9pt">- - - - -</span><br></div><div dir="ltr"><p><span style="font-size:9pt;font-family:Cambria,serif;color:rgb(84,141,212)">
Michele VERDE<br>
Scuola Normale Superiore</span></p>
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E-Mail: <a href="mailto:michele.verde@sns.it" target="_blank"><span style="color:rgb(84,141,212)">michele.verde@sns.it</span></a><br>
E-Mail: <a href="mailto:classi@sns.it" target="_blank">classi@sns.it</a><br>
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