<div dir="ltr"><br><div class="gmail_extra"><br clear="all"><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>
<br><div class="gmail_quote">2015-01-28 11:35 GMT+01:00 Valeria Giuliani <span dir="ltr"><<a href="mailto:valeria.giuliani@sns.it" target="_blank">valeria.giuliani@sns.it</a>></span>:<br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="ltr"><p><span style="font-size:18pt;font-family:'Times New Roman',serif">SEMINARIO
DI MATEMATICA</span></p>
<p><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">Venerdì 13 febbraio 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 14:30</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"> </span></p>
<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 Bianchi </span></p>
<p class="MsoNormal"><b><u><span style="font-size:16pt;font-family:'Times New Roman',serif"><span style="text-decoration:none"> </span></span></u></b></p>
<pre style="text-align:center"><b><span style="font-size:22pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial">Alessandro Carlotto</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">Imperial College, London</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>
<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><span style="background-image:initial;background-repeat:initial"> </span></span><span style="color:black;background-image:initial;background-repeat:initial">Localizing solutions of the Einstein
constraint equations<span> </span></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;background-image:initial;background-repeat:initial"><i><span lang="EN-US"><font face="arial, helvetica, sans-serif">A well-known corollary of the positive
mass theorem by Schoen-Yau is that if an asymptotically flat manifold (of
non-negative scalar curvature) is exactly flat outside of a compact set, then
it has to be globally flat: in other terms any such metric can never be
localized inside a compact set. So what is the "optimal" localization
of those metrics? For instance, can one produce scalar non-negative metrics
that have positive ADM mass and still are trivial in a half-space? </font></span></i></p>
<p class="MsoNormal" style="text-align:justify;background-image:initial;background-repeat:initial"><i><span lang="EN-US"><font face="arial, helvetica, sans-serif"><br></font></span></i></p><p class="MsoNormal" style="text-align:justify;background-image:initial;background-repeat:initial"><i><span lang="EN-US"><font face="arial, helvetica, sans-serif">In recent joint work with Schoen, we
answer these questions by giving a systematic method for constructing solutions
to the Einstein constraint equations that are localized inside a cone of
arbitrarily small aperture. This sharply contrasts with various recent scalar
curvature rigidity phenomena both in the closed and in the free-boundary
setting. Moreover, the gluing scheme that we adopt allows to produce a new
class of exotic N-body solutions for the Einstein equation, which patently
exhibit the phenomenon of gravitational shielding: for any large T we can
engineer solutions where any two massive bodies do not interact at all for any
time t\in(0,T), in striking contrast with the Newtonian gravity scenario.</font></span></i></p>
<p><i><span lang="EN-US"><font face="arial, helvetica, sans-serif"> </font></span></i></p>
<p><i><span lang="EN-US" style="font-family:'Times New Roman',serif"> </span></i></p>
<p><span style="font-size:16pt;font-family:'Times New Roman',serif">Tutti gli
interessati sono invitati a partecipare.</span></p>
<p><span style="font-size:16pt;font-family:'Times New Roman',serif">Classe di Scienze
Matematiche e Naturali</span></p><span class="HOEnZb"><font color="#888888"><p><span style="font-size:16pt;font-family:'Times New Roman',serif"><br></span></p><div><div><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>
</font></span></div>
</blockquote></div><br></div></div>