[Turkmath:7452] FGC-HRI-IPM Sayılar Teorisi Seminerleri::08 Nisan 2026 saat 19:00::Waqar Ali Shah

[kazimilhan.ikeda]

Değerli Matematikçiler,

08 Nisan 2026 Çarşamba günü saat 19:00'da çevrimiçi yapılan FGC-HRI-IPM 
Sayılar Teorisi Seminerlerinde Bilkent Üniversitesi'nden Waqar Ali Shah 
"An introduction to Euler systems" adlı konuşmasını yapacaktır.
Konuşma ve Zoom bağlantı detayları aşağı yer almaktadır.

Saygılarımla,
İlhan İkeda

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FGC-HRI-IPM Number Theory Seminars

Date and time: 08 April 2026 at 19:00

Speaker: Waqar Ali Shah (Bilkent Üniversitesi)

Title: An introduction to Euler systems

Abstract: The Birch–Swinnerton-Dyer conjecture and its generalization, 
the Bloch–Kato conjecture, predict a deep relationship between special 
values of $L$-functions and arithmetic invariants such as Selmer groups. 
One of the most powerful tools for studying these conjectures is the 
theory of Euler systems, which provides a mechanism for bounding Selmer 
groups using compatible families of cohomology classes. In this talk, I 
will give an introduction to the theory of Euler systems and explain how 
they arise naturally in the setting of automorphic forms and Shimura 
varieties. I will then discuss some new examples arising from unitary 
and Siegel Shimura varieties, where new phenomena related to the 
non-uniqueness of period integrals appear, and outline recent ideas for 
overcoming these difficulties in the construction of Euler systems.

Zoom details:

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

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

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