<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">Giovedì 7 dicembre 2017</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 16:00<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"><span> </span></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></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 lang="EN-US" 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 Fermi<span></span></span></p>

<p class="MsoNormal"><b><u><span lang="EN-US" style="font-size:16pt;font-family:"Times New Roman",serif"><span><span style="text-decoration-line:none"> </span></span></span></u></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 class="gmail-apple-converted-space"><b><span lang="EN-US" style="font-size:22pt;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></b></span><b><span lang="EN-US" style="font-size:22pt;font-family:"Times New Roman",serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">Wayne Raskind</span></b><b><span lang="EN-US" style="font-size:22pt;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"><i><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">Wayne
State University</span></span>)<span></span></i></p>

<pre style="text-align:center"><b><i><span lang="EN-US" 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>

<p class="MsoNormal" align="center" style="text-align:center"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></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"><b><span lang="EN-US" style="font-size:22pt;font-family:"Times New Roman",serif;color:black">“</span></b><b><span lang="EN-US" style="font-size:22pt;font-family:"Times New Roman",serif;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">Algebraic cycles on Calabi-Yau 3-folds</span></b><b><span lang="EN-US" style="font-size:22pt;font-family:"Times New Roman",serif;color:black">”</span></b><b><span lang="EN-US" style="font-size:22pt;font-family:"Times New Roman",serif"><span></span></span></b></p>

<p class="MsoNormal"><b><span lang="EN-US" style="font-size:14pt;font-family:"Times New Roman",serif"><span> </span></span></b></p>

<p class="MsoNormal"><b><span lang="EN-US" style="font-size:14pt;font-family:"Times New Roman",serif"><span> </span></span></b></p>

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

<p class="MsoNormal" style="text-align:justify;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font face="arial, helvetica, sans-serif"><i><span lang="EN-US" style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">Calabi-Yau (CY)
algebraic varieties are generalizations of elliptic curves and K3
surfaces.  CY 3-folds arise in some models of string theory, and so have
been studied intensively by mathematicians and physicists.  In two
beautiful papers, Claire Voisin studied the group of algebraic cycles of
codimension two on a non-rigid CY 3-fold X over the complex numbers that are
homologically equivalent to zero, but not algebraically equivalent to
zero.   Her main result is that on a general deformation of X, this
group is infinitely generated, and the proof uses Hodge theoretic
methods.   In this talk, we will discuss an analogue of her work over
p-adic fields us</span>ing p-adic methods.  </i><i><span style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial">All terms in this abstract will be defined.</span></i><i><span lang="EN-US" style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span></span></span></i></font></p>

<p class="MsoNormal" style="text-align:justify;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><i><span lang="EN-US" style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span><font face="arial, helvetica, sans-serif"> </font></span></span></i></p>

<p class="MsoNormal" style="text-align:justify;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><i><span lang="EN-US" style="font-size:9.5pt;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font face="arial, helvetica, sans-serif"> </font></span></i></p>

<p class="MsoNormal" style="background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span style="font-size:16pt;font-family:"Times New Roman",serif">Tutti gli interessati sono invitati a
partecipare.</span><span style="font-size:9.5pt;font-family:Arial,sans-serif;color:rgb(31,28,27)"><span></span></span></p>

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

<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><p class="MsoNormal" style="text-align:justify"><span style="font-size:16pt;font-family:"Times New Roman",serif"><br></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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