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<p class=""><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"><span style="font-size:16pt;font-family:'Times New Roman',serif">Giovedì 27 novembre 2014</span><span style="font-size:16pt;font-family:'Times New Roman',serif"></span></p>
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<pre style="text-align:start"><font size="6"><b><font face="arial, helvetica, sans-serif"><span style="background-image:initial;background-repeat:initial">Solomon Vi</span></font></b><b><span style="background-image:initial;background-repeat:initial"><font face="arial, helvetica, sans-serif">shkautsan</font></span></b></font><br></pre><pre style="text-align:center"><b><span lang="EN-US" style="font-size:22pt;font-family:'Times New Roman',serif"></span></b></pre><pre style="text-align:center"><i><span lang="EN-US" style="font-size:12pt;font-family:'Times New Roman',serif">SNS</span></i></pre>
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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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<pre style="text-align:center"><b style="font-family:arial"><i><span lang="EN-US" style="font-size:20pt;font-family:'Times New Roman',serif">“</span></i></b><b style="font-family:arial"><span lang="EN-US" style="font-size:20pt;font-family:'Times New Roman',serif;background-image:initial;background-repeat:initial">Residual periodicity in arithmetic dynamics</span></b><b style="font-family:arial"><i><span lang="EN-US" style="font-size:20pt;font-family:'Times New Roman',serif">”</span></i></b></pre>
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<p class="MsoNormal" style="text-align:justify"><b><i><span lang="EN-US" style="font-family:'Times New Roman',serif">Abstract:</span></i></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">In this talk we present
a local-global property in arithmetic dynamics calledstrong residual
periodicity, as defined by Bandman, Grunewald and Kunyavskii in 2010. We start
with a dynamical system induced by an endomorphism of a quasiprojective variety
defined over a number field. This system can be reduced mod p for "almost
all" primes in the ring of integers of the number field. We can then ask
how the dynamics of the global system relate to the dynamics of the system
reduced mod p for almost all primes p. Strong residual periodicity occurs when
points of small period exist modulo almost every prime, but "cannot be
explained" by the dynamics of the global system. The aim of this talk is
to present many motivating examples and raise some interesting questions to
encourage further research on this topic.</span></i><i><span lang="EN-US"></span></i></font></p>
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<p class=""><span style="font-size:16pt;font-family:'Times New Roman',serif">Classe di Scienze
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<p class=""><span style="font-size:16pt;font-family:'Times New Roman',serif"> </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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