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<div class="moz-cite-prefix">Il 19/02/2013 11:56,
<a class="moz-txt-link-abbreviated" href="mailto:valeria.giuliani@sns.it">valeria.giuliani@sns.it</a> ha scritto:<br>
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<blockquote cite="mid:51235A6D.7010104@sns.it" type="cite">
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<p class="MsoTitle"><span style="font-family:"Times New
Roman","serif"">Colloquio De Giorgi<o:p></o:p></span></p>
<h2><span style="font-family:"Times New
Roman","serif";mso-no-proof:yes"><o:p> </o:p></span></h2>
<h2><span style="font-family:"Times New
Roman","serif";mso-no-proof:yes">Giovedģ 28
febbraio 2013</span><span style="font-family:"Times New
Roman","serif""><o:p></o:p></span></h2>
<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">16.00</span><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"><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" 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"">Pisa<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"">(Sala degli Stemmi)<o:p></o:p></span></p>
<p class="MsoNormal" style="tab-stops:324.0pt"><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" style="text-align:center" align="center"><b
style="mso-bidi-font-weight: normal"><span
style="font-size:26.0pt;font-family:"Times New
Roman","serif"">Fabrizio Catanese<o:p></o:p></span></b></p>
<p class="MsoNormal" style="text-align:center;tab-stops:324.0pt"
align="center"><i style="mso-bidi-font-style:normal"><span
style="font-family:"Times New
Roman","serif"">Universitaet Bayreuth<o:p></o:p></span></i></p>
<p class="MsoNormal" style="text-align:center;tab-stops:324.0pt"
align="center"><i style="mso-bidi-font-style:normal"><span
style="font-size:11.0pt;font-family: "Times New
Roman","serif";mso-no-proof:yes"><o:p> </o:p></span></i></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"">Terrą un seminario dal titolo:<o:p></o:p></span></p>
<p class="MsoNormal" style="tab-stops:324.0pt"><span
style="font-size:8.0pt; font-family:"Times New
Roman","serif""><o:p> </o:p></span></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";
mso-ansi-language:EN-US" lang="EN-US">“Topological Methods in Algebraic Geometry”<o:p></o:p></span></b></pre>
<p class="MsoNormal" style="text-align:center" align="center"><b
style="mso-bidi-font-weight: normal"><span
style="font-size:18.0pt;font-family:"Times New
Roman","serif"; mso-ansi-language:EN-US"
lang="EN-US"><o:p> </o:p></span></b></p>
<p class="MsoNormal" style="text-align:center" align="center"><b
style="mso-bidi-font-weight: normal"><span
style="font-size:18.0pt;font-family:"Times New
Roman","serif"; mso-ansi-language:EN-US"
lang="EN-US">Can the angel of topology live happily together
with the devil of abstract algebra ?*<i
style="mso-bidi-font-style:normal"><o:p></o:p></i></span></b></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";mso-ansi-language:EN-US"
lang="EN-US"><o:p> </o:p></span></i></b></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";mso-ansi-language:EN-US"
lang="EN-US">Abstract:<o:p></o:p></span></i></b></p>
<p class="MsoNormal" style="text-align:justify"><span
style="font-family:"Times New
Roman","serif";mso-ansi-language:EN-US"
lang="EN-US">Algebraic topology flourished from some of its
applications (such as Brouwer's fixed point theorem, or the
theorem of Borsuk-Ulam) showing the non existence of
certain continuous maps since they would imply the existence
of homomorphisms satisfying algebraic properties which are
manifestly impossible. Conversely, the theory of fibre bundles
and homotopy theory give a topological incarnation of a group
G through its classifying space BG. The theory of classifying
spaces translates then group homomorphisms into continuous
maps to classifying spaces. In algebraic geometry, the theory
of Albanese varieties can be understood as dealing with the
case where G is free abelian. For more general G, an important
question is the one of the regularity of these classifying
maps, and their complex analyticity. These questions, which
were addressed in the last 40 years, have powerful
applications to moduli theory. After this general
introduction, I shall concentrate on some classes of
projective varieties which are classifying spaces for some
group, and on their rigidity and quasi-rigidity properties. I
shall show how the investigations of their moduli spaces lead
to some group theoretical questions, and to theinvestigation
of moduli spaces of curves with symmetries. Key examples are:
varieties isogenous to a product, and the Inoue-type varieties
introduced in recent work with Ingrid Bauer: for these the
moduli space is determined by the topological type. I shall
devote the final part to recent joint work with Michael
L\"onne and Fabio Perroni, dealing with the irreducible
components of moduli spaces of curves with symmetries, with
stabilization results and open questions.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align:justify"><span
style="mso-ansi-language:EN-US" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align:justify"><span
style="font-family:"Times New
Roman","serif";mso-ansi-language:EN-US"
lang="EN-US">* Historical note: In these days the angel of
topology and the devil of abstract algebra fight for the soul
of each individual mathematical</span><span
style="mso-ansi-language:EN-US" lang="EN-US"> </span><span
style="font-family:"Times New
Roman","serif";mso-ansi-language:EN-US"
lang="EN-US">domain. [Hermann Weyl (1939), p.500 of
"Invariants", Duke Mathematical Journal 5 (3): 489-502.]<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align:justify"><span
style="font-size:18.0pt;font-family:"Times New
Roman","serif";mso-ansi-language:
EN-US;mso-no-proof:yes" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align:justify"><span
style="font-size:18.0pt; font-family:"Times New
Roman","serif";mso-no-proof:yes">Tutti gli
interessati sono invitati a partecipare<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align:justify"><span
style="font-size:18.0pt; font-family:"Times New
Roman","serif";mso-no-proof:yes"><o:p> </o:p></span><span
style="font-size:18.0pt;font-family:"Times New
Roman","serif""><o:p></o:p></span><span
style="font-size:18.0pt;font-family:"Times New
Roman","serif"">Classe di Scienze<o:p></o:p></span>
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<pre class="moz-signature" cols="72">--
--------------------------------------------------------------------------------
Valeria Giuliani
Scuola Normale Superiore
Servizio Supporto Attivitą Didattiche - Scienze
Tel. 050-509260
Fax. 050-509045
Piazza dei Cavalieri, 7
56126 Pisa
E-Mail: <a moz-do-not-send="true" class="moz-txt-link-abbreviated" href="mailto:v.giuliani@sns.it">v.giuliani@sns.it</a>
E-Mail: <a moz-do-not-send="true" class="moz-txt-link-abbreviated" href="mailto:segreteria.scienze@sns.it">segreteria.scienze@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 č invitato a darne immediatamente notizia al mittente tramite fax o e-mail e a distruggerla.
Grazie.
</pre>
</blockquote>
<br>
<br>
<pre class="moz-signature" cols="72">--
--------------------------------------------------------------------------------
Valeria Giuliani
Scuola Normale Superiore
Servizio Supporto Attivitą Didattiche - Scienze
Tel. 050-509260
Fax. 050-509045
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:segreteria.scienze@sns.it">segreteria.scienze@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 č invitato a darne immediatamente notizia al mittente tramite fax o e-mail e a distruggerla.
Grazie.
</pre>
</body>
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