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<p class="MsoTitle"><span
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<span style="mso-no-proof:yes">DI MATEMATICA</span><o:p></o:p></span></p>
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style="font-size:16.0pt;font-family:
"Times New
Roman","serif";mso-no-proof:yes">Lunedì 14
aprile 2014</span><span
style="font-size:16.0pt;font-family:"Times New
Roman","serif""><o:p></o:p></span></p>
<p class="MsoNormal" style="margin-left:9.0pt;text-align:center;
line-height:18.0pt;tab-stops:324.0pt" align="center"><span
style="font-size:16.0pt;font-family:
"Times New Roman","serif"">ore <span
style="mso-no-proof:yes">16:45</span><o:p></o:p></span></p>
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line-height:18.0pt;tab-stops:324.0pt" align="center"><span
style="font-size:16.0pt;font-family:
"Times New Roman","serif""><o:p> </o:p></span></p>
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line-height:18.0pt;tab-stops:324.0pt" align="center"><u><span
style="font-size:16.0pt;
font-family:"Times New Roman","serif"">Scuola
Normale Superiore<o:p></o:p></span></u></p>
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line-height:18.0pt;tab-stops:324.0pt" align="center"><span
style="font-size:16.0pt;font-family:
"Times New Roman","serif"">Pisa<o:p></o:p></span></p>
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line-height:18.0pt;tab-stops:324.0pt" align="center"><span
style="font-size:16.0pt;font-family:
"Times New Roman","serif"">Aula <span
style="mso-no-proof:yes">Russo</span><o:p></o:p></span></p>
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style="font-size:10.0pt;
font-family:"Times New Roman","serif""><o:p><span
style="text-decoration:none"> </span></o:p></span></u></b></p>
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style="font-size:10.0pt;
font-family:"Times New Roman","serif""><o:p><span
style="text-decoration:none"> </span></o:p></span></u></b></p>
<pre style="text-align:center"><b style="mso-bidi-font-weight:normal"><span style="font-size:22.0pt;font-family:"Times New Roman","serif"">Fabrizio Barroero<o:p></o:p></span></b></pre>
<pre style="text-align:center"><i style="mso-bidi-font-style:normal"><span style="font-size:12.0pt;font-family:"Times New Roman","serif"">SNS<o:p></o:p></span></i></pre>
<p class="MsoNormal"><span style="font-family:"Times New
Roman","serif""><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align:center;tab-stops:324.0pt"
align="center"><span
style="font-size:16.0pt;font-family:"Times New
Roman","serif"">Terrà un
seminario dal titolo:<o:p></o:p></span></p>
<p class="MsoNormal" style="tab-stops:324.0pt"><b
style="mso-bidi-font-weight:
normal"><span style="font-family:"Times New
Roman","serif""><o:p> </o:p></span></b></p>
<pre style="text-align:center"><b style="mso-bidi-font-weight:normal"><i style="mso-bidi-font-style:normal"><span style="font-size:22.0pt;font-family:
"Times New Roman","serif"">“</span></i></b><b style="mso-bidi-font-weight:normal"><span style="font-size:22.0pt;font-family:"Times New Roman","serif"">Contare punti di altezza limitata<i style="mso-bidi-font-style:normal">”</i><o:p></o:p></span></b></pre>
<p class="MsoNormal" style="text-align:justify"><span
style="font-family:"Times New
Roman","serif""><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align:justify"><b
style="mso-bidi-font-weight:
normal"><i style="mso-bidi-font-style:normal"><span
style="font-family:"Times New
Roman","serif"">Abstract:<o:p></o:p></span></i></b></p>
<pre style="text-align:justify"><i style="mso-bidi-font-style:normal"><span style="font-size:12.0pt;font-family:"Times New Roman","serif"">L'altezza di Weil è una funzione che misura la complessità aritmetica di un numero algebrico. Un famoso teorema, dovuto a Northcott, assicura la finitezza degli insiemi di vettori di numeri algebrici di grado e altezza uniformemente limitati.
E' dunque naturale cercare di studiare la cardinalità di questi insiemi e, in particolare, cercare formule asintotiche quando il limite dell'altezza tende a infinito.<o:p></o:p></span></i></pre>
<pre style="text-align:justify"><i style="mso-bidi-font-style:normal"><span style="font-size:12.0pt;font-family:"Times New Roman","serif"">Richiameremo alcuni risultati più o meno recenti di diversi autori e, in seguito, passeremo al problema di contare punti a coordinate intere (e S-intere).
Metteremo in evidenza il fatto che questi problemi si traducono in contare punti di un reticolo in sottoinsiemi limitati dello spazio Euclideo, confrontando i diversi metodi utilizzati.<o:p></o:p></span></i></pre>
<pre style="text-align:justify"><i style="mso-bidi-font-style:normal"><span style="font-size:12.0pt;font-family:"Times New Roman","serif""><o:p> </o:p></span></i></pre>
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font-family:"Times New Roman","serif"">Tutti
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<pre class="moz-signature" cols="72">--
--------------------------------------------------------------------------------
Valeria Giuliani
Scuola Normale Superiore
Servizio alla Didattica e Allievi
Tel. 050-509260
Piazza dei Cavalieri, 7
56126 Pisa
E-Mail: <a class="moz-txt-link-abbreviated" href="mailto:v.giuliani@sns.it">v.giuliani@sns.it</a>
E-Mail: <a class="moz-txt-link-abbreviated" href="mailto:classi@sns.it">classi@sns.it</a>
Le informazioni contenute nella presente e-mail e nei relativi allegati possono essere riservate e sono, comunque, destinate esclusivamente al destinatario in indirizzo.
E’ vietata, pertanto, la diffusione, distribuzione e/o copiatura di tali informazioni da parte di qualsiasi soggetto diverso dal destinatario.
Chiunque abbia ricevuto o letto questa e-mail per errore o senza esserne legittimato è invitato a darne immediatamente notizia al mittente tramite fax o e-mail e a distruggerla.
Grazie.
</pre>
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