<div dir="ltr"><p class="gmail-MsoTitle" style="text-align:center"><span style="font-size:18pt;font-family:"times new roman",serif">SEMINARIO
DI MATEMATICA<span></span></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 22 novembre 2016</span><span style="font-size:16pt;font-family:"times new roman",serif"><span></span></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></span></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></span></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></span></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;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">Aula Tonelli<span></span></span></p>

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<p class="MsoNormal" align="center" style="text-align:center;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><b><span style="font-size:24pt;font-family:"times new roman",serif">Gennady Uraltsev</span></b><b><span style="font-size:24pt;font-family:"times new roman",serif"><span></span></span></b></p>

<p class="MsoNormal" align="center" style="text-align:center;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span style="font-size:9.5pt;font-family:arial,sans-serif">(</span><i><span style="font-family:"times new roman",serif">Università di Bonn)</span></i><span style="font-size:9.5pt;font-family:arial,sans-serif"><span></span></span></p>

<pre style="text-align:center"><b><i><span style="font-size:12pt;font-family:"times new roman",serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span> </span></span></i></b></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></span></span></p>

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<pre style="text-align:center;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><b><span lang="EN-US" style="font-size:20pt;font-family:"times new roman",serif;color:black">“</span></b><b><span lang="EN-US" style="font-size:20pt;font-family:"times new roman",serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">The Variational Carleson Operator - capturing </span></b></pre><pre style="text-align:center;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><b><span lang="EN-US" style="font-size:20pt;font-family:"times new roman",serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">locality using</span></b><b><span lang="EN-US" style="font-size:20pt;font-family:"times new roman",serif"> <span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">and embedding maps into the symmetry space</span></span></b><b><span lang="EN-US" style="font-size:20pt;font-family:"times new roman",serif;color:black">”<span></span></span></b></pre><pre style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><b><span lang="EN-US" style="font-size:20pt;font-family:"times new roman",serif;color:black"><span> </span></span></b></pre><pre style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><b><span lang="EN-US" style="font-size:12pt;font-family:"times new roman",serif;color:black">Abstract:<span></span></span></b></pre>

<p class="MsoNormal" style="text-align:justify"><span lang="EN-US" style="font-family:"times new roman",serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">We will present the Variational Carleson Operator and
some noteworthy applications: almost everywhere convergence of the Fourier
inversion</span><span lang="EN-US" style="font-family:"times new roman",serif"> <span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">formula,
controlling paths on Lie groups using their trace on the tangent.</span></span>
<span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">A novel approach to proving the boundedness of
the operator on L^p uses embedding maps into the time-scale-frequency space of
the operator’s defining symmetries. The appropriate functional framework to do
this seems to be given by the iterated (or semi-direct product) generalization
of Outer Measure L^p norms. This allow us to capture locality properties of the
operator and to obtain domination by sparse forms. Sharp Muckenhoupt weighted
bounds then follow by well established</span> <span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">methods.</span><b><span lang="EN-US" style="font-family:"times new roman",serif"><span></span></span></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></span></span></p>

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<p class="MsoNormal" style="text-align:justify"><span style="font-size:16pt;font-family:"times new roman",serif">Classe di Scienze Matematiche e Naturali<span></span></span></p>

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<p class="MsoNormal" style="text-align:justify"><span style="font-size:16pt;font-family:"times new roman",serif"><span> </span></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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