[Turkmath:6665] Fwd: FGC-HRI-IPM Number Theory Seminars

[kazimilhan.ikeda]

Değerli Matematikçiler,

Feza Gürsey Fizik ve Matematik UygAr Merkezinin Harish-Chandra Research 
Institute ve IPM-Tahran
ile ortak düzenlediği Sayılar Teorisi seminerleri çerçevesinde, 24 Ekim 
Perşembe günü saat 17:00'da Zoom üzeinden yapılacak seminer detayları 
aşağıda verilmiştir.

İyi çalışmalar dilerim,
ilhan ikeda

-------- Özgün ileti --------
Konu: FGC-HRI-IPM Number Theory Seminars
Tarih: 2024-10-19 10:04
Gönderici: FGC-HRI-IPM  Number Theory Seminars 
<fgc-hri-ipm-numbertheory at googlegroups.com>
Alıcı: FGC-HRI-IPM  Number Theory Seminars 
<fgc-hri-ipm-numbertheory at googlegroups.com>

Dear all,

Our next talk in the FGC-HRI-IPM number theory seminars is Thursday Oct 
24. Please note the unusual date and find the details of the talk below.

Speaker: Ahmad El-Guindy, Cairo University

Title: Some l-adic properties of modular forms with quadratic nebentypus 
and l-regular partition congruences
Abstract: In this talk, we discuss a framework for studying l-regular 
partitions by defining a sequence of modular forms of level l and 
quadratic character which encode the l-adic behavior of the so-called 
l-regular partitions. We show that this sequence is congruent modulo 
increasing powers of l to level 1 modular forms of increasing weights. 
We then prove that certain modules generated by our sequence are 
isomorphic to certain subspaces of level 1 cusp forms of weight 
independent of the power of l, leading to a uniform bound on the ranks 
of those modules and consequently to l-adic relations between l-regular 
partition values. This generalizes earlier work of Folsom, Kent and Ono 
on the partition function, where the relevant forms had no nebentypus,
and is joint work with Mostafa Ghazy.

Date and Time: Thursday, October 24, 19:30 Allahabad, 17:30 Tahran, 
17:00 Istanbul

Zoom link: https://kocun.zoom.us/j/99715471656
Meeting ID: 997 1547 1656
passcode: 848084

ICS-File: https://researchseminars.org/seminar/FGC-IPM/ics

We hope to see you all,

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