[Turkmath:7157] Seminer-Ian Kiming (University of Copenhagen)-Bilecik-10 Haziran

[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 ve bu dönemin son konuşması *10 Haziran **2025
Salı günü* online olarak zoom üzerinden düzenlenecektir.


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



Sıradaki konuşmacı Kopenhag Üniversitesi'nin (Danimarka) değerli öğretim
üyesi* Ian Kiming* olacaktır ve konuşma bilgileri aşağıda yer almaktadır.



*Konuşma Adı:*  Eisenstein series and overconvergence

*Özet: *I will talk about a series of works from recent years on the rate
of overconvergence of certain modular functions that arise from classical
Eisenstein series. The question arises because these rates have
implications for the finer structure of the Coleman-Mazur eigencurve.
Specifically, proving explicit bounds for the rates played a pivotal role
in the proofs of "halo" type conjectures for p=2 and p=3 by Buzzard-Kilford
and Roe, respectively. Those theorems lead Coleman to formulate a general
conjecture for all primes p, and a recent (2025) theorem by myself together
with B. Advocaat and G. Wiese proved a version of this conjecture. This new
work builds on and uses previous work by myself together with N. Rustom.

My aim in this talk will primarily be to explain the content of these
results. I will start the talk at a very basic level, talking about
overconvergent modular forms and "Katz expansions" in very concrete terms
that are accessible to anyone who knows about modular forms. At the end I
might be able to sketch some of the ideas that go into the proofs.

*Tarih: 10/06/2025 *

*Saat: 16:00 İstanbul / 15:00 Berlin / 14:00 Londra / 22:00 Tokyo / 09:00
New York / 23:00 Sydney*



Katılım için linkte yer alan form doldurulması yeterlidir,

Form linki:  https://forms.gle/j7UytGNCSHm9chJQ9



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 and final
seminar of this semester on *Tue, Jun 10, 2025*. The event will be
conducted online via Zoom.

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



The inaugural speaker will be *Ian Kiming*, a faculty member at University
of Copenhagen, Denmark. Details of the presentation are provided below.



*Title: *Eisenstein series and overconvergence

*Abstract: *I will talk about a series of works from recent years on the
rate of overconvergence of certain modular functions that arise from
classical Eisenstein series. The question arises because these rates have
implications for the finer structure of the Coleman-Mazur eigencurve.
Specifically, proving explicit bounds for the rates played a pivotal role
in the proofs of "halo" type conjectures for p=2 and p=3 by Buzzard-Kilford
and Roe, respectively. Those theorems lead Coleman to formulate a general
conjecture for all primes p, and a recent (2025) theorem by myself together
with B. Advocaat and G. Wiese proved a version of this conjecture. This new
work builds on and uses previous work by myself together with N. Rustom.

My aim in this talk will primarily be to explain the content of these
results. I will start the talk at a very basic level, talking about
overconvergent modular forms and "Katz expansions" in very concrete terms
that are accessible to anyone who knows about modular forms. At the end I
might be able to sketch some of the ideas that go into the proofs.


*Date: Jun 10, 2025, Tuesday*

*Time: **16:00 İstanbul / 15:00 Berlin / 14:00 Londra / 22:00 Tokyo/ 09:00
New York / 23:00 Sydney*



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

Form Link: https://forms.gle/j7UytGNCSHm9chJQ9



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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