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<font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size: 16px;">Akdeniz Üniversitesi, Fen Fakültesi, Matematik Bölümü Genel Seminerleri</span></font></div>
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<font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size: 16px;">Konuşmacı:<b><b style="font-family: Calibri, Helvetica, sans-serif, serif, EmojiFont; font-size: 16px;"> A. Muhammed ULUDAĞ</b></b></span></font></div>
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<font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size: 16px;">Başlık: </span></font></div>
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<font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size: 16px;"></span></font><b style="font-family: Calibri, Helvetica, sans-serif, serif, EmojiFont;"><b>Codenominator and Quantizations of Real Numbers</b></b></div>
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<font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size: 16px;">Tarih/ Saat: 09 Mayıs Cuma 2025, 14:30</span></font></div>
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<font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size: 16px;">Yer : <font size="3"><span style="font-size: 12pt;">Akdeniz Üniversitesi, Fen Fakültesi B-Blok Konferans Salonu</span></font></span></font></div>
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<font face="Calibri,Helvetica,sans-serif,EmojiFont,Apple Color Emoji,Segoe UI Emoji,NotoColorEmoji,Segoe UI Symbol,Android Emoji,EmojiSymbols" size="2"><span style="font-size: 16px;"><font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size: 16px;"><b>Abstract:</b></span></font></span></font></div>
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<div style="margin-top: 0px; margin-bottom: 0px;"><font face="Calibri,Helvetica,sans-serif,EmojiFont,Apple Color Emoji,Segoe UI Emoji,NotoColorEmoji,Segoe UI Symbol,Android Emoji,EmojiSymbols" size="2"><span style="font-size: 16px;"><font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size: 16px;">We
will introduce the codenominator function F that extends the Fibonacci sequence to the index set of positive rational numbers, and show that one can express Dyer’s outer automorphism of PGL(2, Z) in terms of F. This automorphism can be viewed as an automorphism
group of the trivalent tree. The real equivariant modular function Jimm (J) on the real line is defined via the codenominator. J relates the Stern-Brocot tree to the Bird tree. Jimm induces an involution of the moduli space of rank-2 pseudolattices and is
related to the arithmetic of real quadratic irrationals. Finally, we will explain how J is related to the quantizations of real numbers recently found by Morier-Genoud and Ovsienko and introduce a new conjugate pair of quantizations discovered recently by
Mustafa Topkara</span></font><font face="Calibri,Helvetica,sans-serif,serif,EmojiFont" size="2"><span style="font-size: 16px;">.</span></font></span></font></div>
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