[Turkmath:7325] HATIRLATMA-Seminer-Ben Kane (Hong Kong University)-Bilecik-4 Kasım

[Ilker Inam]

Değerli Liste Üyeleri,



Bilecik Şeyh Edebali Üniversitesi Fen Fakültesi Matematik Bölümü Cebir ve
Sayılar Teorisi Anabilim dalı öğretim üyeleri tarafından kurulan
“Bilecik Algebra & Number Theory (BANT)” grubu tarafından organize
edilen seminer serilerinin yeni konuşması *4 Kasım 2025 Salı günü* online
olarak zoom üzerinden düzenlenecektir.


Etkinliğin web sitesi: https://bilecikalgebranumbertheory.github.io/ dir.



Sıradaki konuşmacı Hong Kong Üniversitesi'nin (Hong Kong) değerli öğretim
üyesi* Ben Kane* olacaktır ve konuşma bilgileri aşağıda yer almaktadır.



Konuşma Adı:  *The bias conjecture for elliptic curves over finite fields
and Hurwitz class numbers in arithmetic progressions*

Özet: In this talk, we investigate the bias from the first non-vanishing
term (on average) after the main term in the asymptotic formula for the
second moment of elliptic curves over finite fields whose Trace of
Frobenius lies in a certain arithmetic progression. This is a finite field
version of a conjecture of Steven J. Miller, who considered the same
question for the reduction from a one-parameter family of elliptic curves
over the rationals. We investigate this asymptotic formula through moments
of certain Hurwitz class numbers. This is joint work with Sudhir Pujahari
and Zichen Yang, and builds off of previous work with Kathrin Bringmann and
Sudhir Pujahari.


*Tarih: 04/11/2025 *

*Saat: 15:00 İstanbul / 13:00 Berlin / 12:00 Londra / 21:00 Tokyo / 08:00
New York / 23:00 Sydney*



Katılım için linkte yer alan form doldurulması yeterlidir,

Form linki: https://forms.gle/zs24knybsGUkfbUd6


Zoom linki formu doldurduktan sonra email ile paylaşılacaktır. Etkinlik
posteri ekte yer almaktadır.



Saygılarımla,

Prof.Dr. İlker İnam

Düzenleme komitesi adına.





—————————————————————



Dear list members,



The "Bilecik Algebra & Number Theory (BANT)" group, founded by the faculty
members of the Department of Algebra and Number Theory at Bilecik Seyh
Edebali University's Faculty of Science, will host its next semester on *Tue,
Nov 4, 2025*. The event will be conducted online via Zoom.

The website for the event is:  https://bilecikalgebranumbertheory.github.io/
.



The inaugural speaker will be *Ben Kane*, a faculty member at Hong Kong
University, Hong Kong. Details of the presentation are provided below.



*Title: **The bias conjecture for elliptic curves over finite fields and
Hurwitz class numbers in arithmetic progressions*

*Abstract: *In this talk, we investigate the bias from the first
non-vanishing term (on average) after the main term in the asymptotic
formula for the second moment of elliptic curves over finite fields whose
Trace of Frobenius lies in a certain arithmetic progression. This is a
finite field version of a conjecture of Steven J. Miller, who considered
the same question for the reduction from a one-parameter family of elliptic
curves over the rationals. We investigate this asymptotic formula through
moments of certain Hurwitz class numbers. This is joint work with Sudhir
Pujahari and Zichen Yang, and builds off of previous work with Kathrin
Bringmann and Sudhir Pujahari.


*Date: Nov 4, 2025, Tuesday*

*Time: **15:00 İstanbul / 13:00 Berlin / 12:00 Londra / 21:00 Tokyo / 08:00
New York / 23:00 Sydney*



To participate, simply fill out the form at the following link:

Form Link: https://forms.gle/zs24knybsGUkfbUd6



The Zoom link will be shared via email after filling out the form. The
event poster is attached.



Best regards,

Prof.Dr. Ilker Inam

On behalf of the organizing committee
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