[Turkmath:7469] 22 Nisan 2026 saat 19:00::Carlos Castano-Bernard:: FGC-HRI-IPM Number Theory Seminars

kazimilhan.ikeda kazimilhan.ikeda at bogazici.edu.tr
Sun Apr 19 07:45:12 UTC 2026


Değerli matematikçiler,

22 Nisan 2026 Çarşamba günü saat 19:00'da çevrimiçi yapılan FGC-HRI-IPM 
Sayılar Teorisi Seminerlerinde  Carlos Castano-Bernard (Universidad de 
Colima, Meksika) "The Atkin-Lehner-Li group of Shimura's modular curve" 
adlı konuşmasını yapacaktır.

Konuşma ve zoom bağlantı detayları aşağı yer almaktadır.

Saygılarımla,
İlhan İkeda

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Speaker: Carlos Castano-Bernard (Universidad de Colima)

Title: The Atkin-Lehner-Li group of Shimura's modular curve

Abstract:
Let Xχ(N) be the double covering of X_0(N) associated to χ. We show that 
the group Wχ generated by the Atkin-Lehner-Li automorphisms w_Q of Xχ(N) 
is a central extension of an elementary abelian 2-group. We also 
characterise when w_Q lies in the centre Z(Wχ) of Wχ in terms of genus 
theory. Finally, we decompose Wχ as a product of an elementary abelian 
2-group with either an extra-special 2-group, the Pauli group, or C_4, 
if the extension is non-trivial.

Zoom details:

Online Link: https://kocun.zoom.us/j/99715471656

Toplantı Şifresi: Meeting ID: 997 1547 1656 passcode: 848084

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