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</o:shapelayout></xml><![endif]--></head><body lang=IT link=blue vlink=purple><div class=WordSection1><p class=MsoTitle><span style='font-size:18.0pt;font-family:"Times New Roman","serif"'>COLLOQUI DE GIORGI</span><span style='font-size:18.0pt;font-family:"Times New Roman","serif"'><o:p></o:p></span></p><p class=MsoTitle><span style='font-size:10.0pt;font-family:"Times New Roman","serif"'><o:p><span style='text-decoration:none'> </span></o:p></span></p><p class=MsoNormal align=center style='text-align:center'><span style='font-size:16.0pt;font-family:"Times New Roman","serif"'>martedì 6 maggio 2014<o:p></o:p></span></p><p class=MsoNormal align=center style='text-align:center'><span style='font-size:16.0pt;font-family:"Times New Roman","serif"'>ore 17:00<o:p></o:p></span></p><p class=MsoNormal align=center style='margin-left:9.0pt;text-align:center;line-height:18.0pt'><span style='font-size:16.0pt;font-family:"Times New Roman","serif"'><o:p> </o:p></span></p><p class=MsoNormal align=center style='margin-left:9.0pt;text-align:center;line-height:18.0pt'><u><span style='font-size:16.0pt;font-family:"Times New Roman","serif"'>Scuola Normale Superiore<o:p></o:p></span></u></p><p class=MsoNormal align=center style='margin-left:9.0pt;text-align:center;line-height:18.0pt'><span style='font-size:16.0pt;font-family:"Times New Roman","serif"'>Pisa<o:p></o:p></span></p><p class=MsoNormal align=center style='margin-left:9.0pt;text-align:center;line-height:18.0pt'><span style='font-size:16.0pt;font-family:"Times New Roman","serif"'><o:p> </o:p></span></p><p class=MsoNormal align=center style='margin-left:9.0pt;text-align:center;line-height:18.0pt'><span style='font-size:16.0pt;font-family:"Times New Roman","serif"'>(Sala degli Stemmi)<o:p></o:p></span></p><p class=MsoNormal><b><u><span 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><p class=MsoNormal align=center style='text-align:center'><b><span style='font-size:22.0pt;font-family:"Times New Roman","serif"'>Prof. Michel Waldschmidt</span></b><i><span style='font-family:"Times New Roman","serif";color:black'><o:p></o:p></span></i></p><p class=MsoNormal align=center style='text-align:center'><i><span style='font-family:"Times New Roman","serif";color:black'>Paris VI Université Pierre et Marie Curie</span></i><i><span style='font-family:"Times New Roman","serif";color:black'><o:p></o:p></span></i></p><p class=MsoNormal><span style='font-size:12.0pt;font-family:"Times New Roman","serif"'><o:p> </o:p></span></p><p class=MsoNormal align=center style='text-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><span style='font-size:12.0pt;font-family:"Times New Roman","serif"'><o:p> </o:p></span></p><p class=MsoNormal align=center style='text-align:center'><b><i><span lang=EN-US style='font-size:22.0pt;font-family:"Times New Roman","serif"'>“Schanuel's Conjecture: algebraic independence of transcendental numbers”<o:p></o:p></span></i></b></p><p class=MsoNormal style='text-align:justify'><b><i><span lang=EN-US style='font-size:10.0pt;font-family:"Times New Roman","serif"'><o:p> </o:p></span></i></b></p><p class=MsoNormal style='text-align:justify'><b><i><span lang=EN-US style='font-size:10.0pt;font-family:"Times New Roman","serif"'><o:p> </o:p></span></i></b></p><p class=MsoNormal style='text-align:justify'><b><i><span lang=EN-US style='font-size:10.0pt;font-family:"Times New Roman","serif"'><o:p> </o:p></span></i></b></p><p class=MsoNormal style='text-align:justify'><b><i><span lang=EN-US style='font-size:10.0pt;font-family:"Times New Roman","serif"'>Abstract <o:p></o:p></span></i></b></p><p class=MsoBodyText style='mso-margin-top-alt:11.25pt;margin-right:29.2pt;margin-bottom:0cm;margin-left:0cm;margin-bottom:.0001pt'><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif";letter-spacing:-.1pt'>Sc</span></i></b><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif";letter-spacing:-.15pt'>han</span></i></b><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif";letter-spacing:-.1pt'>uel’s</span></i></b><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif";letter-spacing:1.55pt'> </span></i></b><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif"'>conjecture<span style='letter-spacing:1.65pt'> </span>asserts<span style='letter-spacing:1.6pt'> </span>that<span style='letter-spacing:1.6pt'> </span>for<span style='letter-spacing:1.6pt'> </span>linearly<span style='letter-spacing:1.6pt'> </span>independent<span style='letter-spacing:1.6pt'> </span>complex<span style='letter-spacing:1.65pt'> </span><span style='letter-spacing:-.15pt'>n</span><span style='letter-spacing:-.1pt'>umb</span><span style='letter-spacing:-.15pt'>ers</span></span></i></b><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif";letter-spacing:1.25pt'> </span></i></b><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif";letter-spacing:.1pt'>x</span></i></b><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif";position:relative;top:1.5pt;mso-text-raise:-1.5pt;letter-spacing:.1pt'>1</span></i></b><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif";letter-spacing:.15pt'>,</span></i></b><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif";letter-spacing:-1.45pt'> </span></i></b><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif"'>...,<span style='letter-spacing:-1.45pt'> </span><span style='letter-spacing:.1pt'>x</span></span></i></b><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif";position:relative;top:1.5pt;mso-text-raise:-1.5pt;letter-spacing:.1pt'>n</span></i></b><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif";letter-spacing:.1pt'>,</span></i></b><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif";letter-spacing:1.4pt'> </span></i></b><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif"'>there<span style='letter-spacing:1.25pt'> </span>are<span style='letter-spacing:1.3pt'> </span>at<span style='letter-spacing:1.3pt'> </span>least<span style='letter-spacing:1.3pt'> </span></span></i></b><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif"'>n<span style='letter-spacing:.85pt'> </span></span></i></b><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif"'>algebraically<span style='letter-spacing:1.3pt'> </span>independent<span style='letter-spacing:1.3pt'> </span><span style='letter-spacing:-.15pt'>n</span><span style='letter-spacing:-.1pt'>umb</span><span style='letter-spacing:-.15pt'>ers</span><span style='letter-spacing:1.3pt'> </span>among<span style='letter-spacing:1.3pt'> </span>the<span style='letter-spacing:1.25pt'> </span>2</span></i></b><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif"'>n</span></i></b><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif";letter-spacing:1.4pt'> </span></i></b><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif";letter-spacing:-.15pt'>n</span></i></b><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif";letter-spacing:-.1pt'>umb</span></i></b><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif";letter-spacing:-.15pt'>ers</span></i></b><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif"'><o:p></o:p></span></i></b></p><p class=MsoNormal align=center style='mso-margin-top-alt:0cm;margin-right:56.75pt;margin-bottom:0cm;margin-left:32.95pt;margin-bottom:.0001pt;text-align:center'><b><i><span lang=EN-US style='font-size:10.0pt;font-family:"Times New Roman","serif";letter-spacing:.1pt'>x<span style='position:relative;top:1.5pt;mso-text-raise:-1.5pt'>1</span></span></i></b><b><i><span lang=EN-US style='font-size:10.0pt;font-family:"Times New Roman","serif";letter-spacing:.15pt'>,</span></i></b><b><i><span lang=EN-US style='font-size:10.0pt;font-family:"Times New Roman","serif";letter-spacing:-1.3pt'> </span></i></b><b><i><span lang=EN-US style='font-size:10.0pt;font-family:"Times New Roman","serif"'>.<span style='letter-spacing:-1.25pt'> </span>.<span style='letter-spacing:-1.25pt'> </span>.<span style='letter-spacing:-1.25pt'> </span>,<span style='letter-spacing:-1.25pt'> </span><span style='letter-spacing:.1pt'>x<span style='position:relative;top:1.5pt;mso-text-raise:-1.5pt'>n</span></span><span style='letter-spacing:.15pt'>,</span><span style='letter-spacing:2.35pt'> </span>e<span style='position:relative;top:-5.0pt;mso-text-raise:5.0pt'>x</span><span style='position:relative;top:-4.0pt;mso-text-raise:4.0pt'>1<span style='letter-spacing:-.35pt'> </span></span>,<span style='letter-spacing:-1.25pt'> </span>.<span style='letter-spacing:-1.25pt'> </span>.<span style='letter-spacing:-1.25pt'> </span>.<span style='letter-spacing:-1.25pt'> </span>,<span style='letter-spacing:-1.25pt'> </span>e<span style='position:relative;top:-5.0pt;mso-text-raise:5.0pt'>x</span><span style='position:relative;top:-4.0pt;mso-text-raise:4.0pt'>n<span style='letter-spacing:-.85pt'> </span></span>.</span></i></b><b><i><span lang=EN-US style='font-size:10.0pt;font-family:"Times New Roman","serif"'><o:p></o:p></span></i></b></p><p class=MsoBodyText style='margin-right:29.2pt'><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif"'>This<span style='letter-spacing:.55pt'> </span>simple<span style='letter-spacing:.6pt'> </span><span style='letter-spacing:-.05pt'>statement</span><span style='letter-spacing:.55pt'> </span>has<span style='letter-spacing:.55pt'> </span><span style='letter-spacing:-.1pt'>many</span><span style='letter-spacing:.55pt'> </span><span style='letter-spacing:-.15pt'>remark</span><span style='letter-spacing:-.1pt'>able</span><span style='letter-spacing:.55pt'> </span>consequences;<span style='letter-spacing:.55pt'> </span><span style='letter-spacing:-.2pt'>w</span><span style='letter-spacing:-.25pt'>e</span><span style='letter-spacing:.55pt'> </span>will<span style='letter-spacing:.6pt'> </span>explain<span style='letter-spacing:.6pt'> </span>some<span style='letter-spacing:1.15pt'> </span>of<span style='letter-spacing:1.0pt'> </span>them.<span style='letter-spacing:2.3pt'> </span><span style='letter-spacing:-.45pt'>W</span><span style='letter-spacing:-.55pt'>e</span><span style='letter-spacing:1.0pt'> </span>will<span style='letter-spacing:1.05pt'> </span>also<span style='letter-spacing:1.0pt'> </span><span style='letter-spacing:-.1pt'>presen</span><span style='letter-spacing:-.05pt'>t</span><span style='letter-spacing:1.0pt'> </span>the<span style='letter-spacing:1.0pt'> </span>state<span style='letter-spacing:1.0pt'> </span>of<span style='letter-spacing:1.0pt'> </span>the<span style='letter-spacing:1.0pt'> </span>art<span style='letter-spacing:1.05pt'> </span>on<span style='letter-spacing:1.0pt'> </span>this<span style='letter-spacing:1.0pt'> </span>topic.<o:p></o:p></span></i></b></p><p class=MsoBodyText style='margin-right:29.2pt'><b><i><span lang=EN-GB style='font-size:10.0pt;font-family:"Times New Roman","serif"'><o:p> </o:p></span></i></b></p><p class=MsoBodyText style='margin-right:29.2pt;line-height:13.9pt;mso-line-height-rule:exactly'><span lang=EN-US style='font-size:14.0pt;font-family:"Times New Roman","serif"'><o:p> </o:p></span></p><p class=MsoNormal style='text-align:justify'><span style='font-size:16.0pt;font-family:"Times New Roman","serif"'>Tutti gli interessati sono invitati a partecipare.</span><span style='font-size:16.0pt;font-family:"Times New Roman","serif"'><o:p></o:p></span></p><p class=MsoNormal style='text-align:justify'><span style='font-size:16.0pt;font-family:"Times New Roman","serif"'><o:p> </o:p></span></p><p class=MsoNormal style='text-align:justify'><span style='font-size:16.0pt;font-family:"Times New Roman","serif"'><o:p> </o:p></span></p><p class=MsoNormal style='text-align:justify'><span style='font-size:16.0pt;font-family:"Times New Roman","serif"'><o:p> </o:p></span></p><p class=MsoBodyText> <span style='font-size:16.0pt;font-family:"Times New Roman","serif"'>Classe di Scienze</span><span style='font-size:8.0pt;font-family:"Times New Roman","serif"'><o:p></o:p></span></p><p class=MsoNormal><span style='font-size:12.0pt'><o:p> </o:p></span></p><p class=MsoNormal><span style='font-size:12.0pt'><o:p> </o:p></span></p><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Arial","sans-serif";color:#548DD4;mso-fareast-language:IT'>- - - - -<br>Michele VERDE<br>Scuola Normale Superiore<o:p></o:p></span></p><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Arial","sans-serif";color:#548DD4;mso-fareast-language:IT'>Servizio alla didattica e allievi<br>Piazza Dei Cavalieri, 7<br>I - 56126 Pisa<o:p></o:p></span></p><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Arial","sans-serif";color:#548DD4;mso-fareast-language:IT'> <o:p></o:p></span></p><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Arial","sans-serif";color:#548DD4;mso-fareast-language:IT'>Tel. 050-509048<br>E-Mail: <a href="mailto:michele.verde@sns.it"><span style='color:#548DD4'>michele.verde@sns.it</span></a><br>E-Mail: <a href="mailto:classi@sns.it"><span style='color:blue'>classi@sns.it</span></a><br>- - - - -<o:p></o:p></span></p><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Arial","sans-serif";color:#548DD4;mso-fareast-language:IT'> <o:p></o:p></span></p><p class=MsoNormal><span style='font-size:9.0pt;font-family:"Arial","sans-serif";color:#548DD4;mso-fareast-language:IT'>Le informazioni contenute nella presente e-mail e nei relativi allegati possono essere riservate e sono, comunque, destinate esclusivamente al destinatario in indirizzo.<br>E’ vietata, pertanto, la diffusione, distribuzione e/o copiatura di tali informazioni da parte di qualsiasi soggetto diverso dal destinatario. <br>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.<br>Grazie.<o:p></o:p></span></p><p class=MsoNormal><o:p> </o:p></p></div></body></html>