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<p>Sayın matematikçiler,</p>
<p>Feza Gürsey Fizik ve Matematik UygAr Merkezi Yüksek Yapılar Seminerleri kapsamında 9 Nisan saat 18:00'da yapılacak konuşmanın detayları aşağıdadır.</p>
<p>İyi çalışmalar, saygılar,</p>
<p>K. İlhan İkeda</p>
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<p><span style="font-family: 'andale mono', monospace;">Dear friends,</span></p>
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<div class="v1v1v1v1v1pre"><span style="font-family: 'andale mono', monospace;">On <strong>April 09, 2024 Tuesday at 18:00 Istanbul local time (16:00 Lizbon local time),</strong> <strong>John Huerta</strong> from Instituto Superior Técnico - Lisboa will be the speaker of Feza Gursey Center for Physics and </span><span style="font-family: 'andale mono', monospace;">Mathematics Higher Structure Research Group Seminars.</span><br /><br /><span style="font-family: 'andale mono', monospace;">The details of John's seminar talk are as follows: </span></div>
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<div class="v1v1v1v1v1pre"><span style="font-family: 'andale mono', monospace;"><strong>Speaker:</strong> John Huerta (Instituto Superior Técnico - Lisboa)</span><br /><span style="font-family: 'andale mono', monospace;"></span></div>
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<div class="v1v1v1v1v1pre"><span style="font-family: 'andale mono', monospace;"><strong>Date:</strong> April 09, 2024, Tuesday</span><br /><span style="font-family: 'andale mono', monospace;"></span></div>
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<div class="v1v1v1v1v1pre"><span style="font-family: 'andale mono', monospace;"><strong>Time:</strong> 18:00 Istanbul local time (16:00 Lizbon local time)</span><br /><span style="font-family: 'andale mono', monospace;"></span></div>
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<div class="v1v1v1v1v1pre"><span style="font-family: 'andale mono', monospace;"><strong>Title</strong><span style="font-family: georgia, palatino, serif; color: #000000;">:<span style="font-size: 9pt; font-family: 'andale mono', monospace;"><a style="font-weight: bold; color: #000000;" href="http://www.turkmath.org/beta/seminer.php?id_seminer=3643" target="_blank" rel="noopener noreferrer">Poincaré duality for families of supermanifolds</a></span></span> </span><br /><span style="font-family: 'andale mono', monospace;"></span></div>
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<p><span style="font-family: 'andale mono', monospace;">It is well known to experts, but seldom discussed explicitly, that smooth supergeometry is best done in families. This is also called the relative setting, and it implies that we need relative versions of standard supergeometric constructions. Such constructions include the de Rham complex familiar from ordinary differential geometry, but in the supergeometric setting, they also include more exotic objects, such as the Berezinian line bundle (whose sections are the correct objects to integrate over supermanifolds) and the related complex of integral forms, where the super version of Stokes' theorem lives. To work in families, we introduce relative versions of the de Rham complex and the integral form complex, and we prove that they satisfy a relative version of Poincaré duality. No background in supergeometry will be assumed for this talk.</span></p>
<p><span style="font-family: 'andale mono', monospace;">This is joint work with Konstantin Eder and Simone Noja.</span></p>
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<p><span style="font-family: 'andale mono', monospace; font-size: 9pt;">Zoom uygulaması <em>Bilim Akademisi</em> tarafından sağlanmaktadır./Zoom link is provided by <em>The Science Academy.</em></span></p>
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<div class="v1v1v1v1v1pre"><span style="font-family: 'andale mono', monospace;"><strong>Zoom link details:</strong> </span><br /><span style="font-family: 'andale mono', monospace;">(As usual the zoom link will be active 30 minutes before the seminar time.)</span></div>
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<div class="v1v1v1v1v1pre"><span style="background-color: #ffff00;">Time: Apr 9, 2024 17:30 Istanbul<br /><br />Join Zoom Meeting<br /><a href="https://us02web.zoom.us/j/85990261915?pwd=bUU1OUhJUmpKaUllbHdhVWJOa3dsQT09" target="_blank" rel="noopener noreferrer">https://us02web.zoom.us/j/<wbr />85990261915?pwd=<wbr />bUU1OUhJUmpKaUllbHdhVWJOa3dsQT<wbr />09</a><br /><br />Meeting ID: 859 9026 1915<br />Passcode: 578799</span><br /><br /><span style="font-family: 'andale mono', monospace;">Best Regards,</span><br /><span style="font-family: 'andale mono', monospace;">Ilhan </span><br /><br /><span style="font-family: 'andale mono', monospace;">Organized by Feza Gürsey Center for Physics and Mathematics </span><br /><span style="font-family: 'andale mono', monospace;">Supported by Bilim Akademisi - The Science Academy</span></div>
<p><img src="cid:171234483166104eff9ccd5641605657@bogazici.edu.tr" width="100" height="100" /><img src="cid:171234483166104eff9d193158424544@bogazici.edu.tr" width="271" height="113" /></p>
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