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<div class="pre" style="margin: 0; padding: 0; font-family: monospace"><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">Değerli matematikçiler,</span><br /><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">Aşağıda <strong><em>4 Aralık Çarşamba günü saat 17:00</em></strong>'da Zoom üzerinden çevrimiçi yapılacak <em>FGE-HRI-IPM Sayılar Teorisi Seminerinin</em> detaylarını bulacaksınız.</span><br /><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">İyi çalışmalar,</span><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">İlhan İkeda</span><br /><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">-------- Özgün ileti --------</span><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">Konu: FGC-HRI-IPM number theory seminars</span><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">Tarih: 2024-11-28 16:37</span><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">Gönderici: FGC-HRI-IPM Number Theory Seminars <<a href="mailto:fgc-hri-ipm-numbertheory@googlegroups.com">fgc-hri-ipm-numbertheory@googlegroups.com</a>></span><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">Alıcı: FGC-HRI-IPM Number Theory Seminars <<a href="mailto:fgc-hri-ipm-numbertheory@googlegroups.com">fgc-hri-ipm-numbertheory@googlegroups.com</a>></span><br /><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">Dear all,</span><br /><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">This week, <strong>Andrea Ferraguti</strong> [<a href="https://sites.google.com/view/andreaferraguti/home" target="_blank" rel="noopener noreferrer">1</a>] (Univ. Torino, Italy) is our speaker. Please find the details of his talk below.</span><br /><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">All the best,</span><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">---------------------------------------------------------------</span><br /><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;"><strong>Date and Time:</strong> </span><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">December 4, 2024 at 17:00 (Istanbul LT); at 19:30 (Allahabad LT); at 17:30 (Tehran LT)</span><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;"><strong>Speaker:</strong> Andrea Ferraguti (Univ. Torino)</span><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;"><strong>Title:</strong> <em>Frobenius and settled elements in iterated Galois extensions</em></span><br /><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;"><strong>Abstract:</strong> Understanding Frobenius elements in iterated Galois extensions is a major goal in arithmetic dynamics. In 2012 Boston and Jones conjectured that any quadratic polynomial f over a finite field that is different from x^2 is settled, namely the weighted proportion of f-stable factors in the factorization of the n-th iterate of f tends to 1 as n tends to infinity. This can be rephrased in terms of Frobenius elements: given a quadratic polynomial f over a number field K, an</span><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">element \alpha in K and the extension K_\infty generated by all the f^n-preimages of \alpha, the Frobenius elements of unramified primes in K_\infty are settled. In this talk, we will explain how to construct uncountably many non-conjugate settled elements that cannot be the Frobenius of any ramified or unramified prime, for any quadratic polynomial. The key result is a description of the critical orbit modulo squares for quadratic polynomials over local fields. This is joint work with Carlo Pagano.</span><br /><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt; background-color: #f1c40f;">Zoom link: <a style="background-color: #f1c40f;" href="https://kocun.zoom.us/j/99715471656" target="_blank" rel="noopener noreferrer">https://kocun.zoom.us/j/99715471656</a></span><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt; background-color: #f1c40f;">Meeting ID: 997 1547 1656</span><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt; background-color: #f1c40f;">passcode: 848084</span><br /><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;"> -- </span><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">You received this message because you are subscribed to the Google</span><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">Groups "FGC-HRI-IPM Number Theory Seminars" group.</span><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">To unsubscribe from this group and stop receiving emails from it, send</span><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">an email to <a href="mailto:fgc-hri-ipm-numbertheory+unsubscribe@googlegroups.com">fgc-hri-ipm-numbertheory+unsubscribe@googlegroups.com</a>.</span><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">To view this discussion visit</span><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;"><a href="https://groups.google.com/d/msgid/fgc-hri-ipm-numbertheory/59c8cd08-78d9-43cc-9e18-75d1cfb5f110n%40googlegroups.com" target="_blank" rel="noopener noreferrer">https://groups.google.com/d/msgid/fgc-hri-ipm-numbertheory/59c8cd08-78d9-43cc-9e18-75d1cfb5f110n%40googlegroups.com</a></span><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">[<a href="https://groups.google.com/d/msgid/fgc-hri-ipm-numbertheory/59c8cd08-78d9-43cc-9e18-75d1cfb5f110n%40googlegroups.com?utm_medium=email&utm_source=footer" target="_blank" rel="noopener noreferrer">2</a>].</span><br /><br /><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">Links:</span><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">------</span><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">[1] <a href="https://sites.google.com/view/andreaferraguti/home" target="_blank" rel="noopener noreferrer">https://sites.google.com/view/andreaferraguti/home</a></span><br /><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">[2] <a href="https://groups.google.com/d/msgid/fgc-hri-ipm-numbertheory/59c8cd08-78d9-43cc-9e18-75d1cfb5f110n%40googlegroups.com?utm_medium=email&utm_source=footer" target="_blank" rel="noopener noreferrer">https://groups.google.com/d/msgid/fgc-hri-ipm-numbertheory/59c8cd08-78d9-43cc-9e18-75d1cfb5f110n%40googlegroups.com?utm_medium=email&utm_source=footer</a></span></div>
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