by
Kazım
Büyükboduk
Abstract: Kolyvagin's
machinery of Euler Systems is a powerful tool used to bound
Selmer groups. If one looks at the Selmer groups over the Iwasawa tower,
same methods are used to prove that the characterictic ideal of the Selmer
group divides the ideal generated by the associated p-adic L-function (Main
conjectures in various settings state that these ideals in fact coincide).
Mazur and Rubin isolated the notion of "Kolyvagin System", which have
exactly the same applications as Euler Systems, but have a more rigid
structure. We prove that Kolyvagin Systems over the Iwasawa tower exist as
long as a certain trivial zero phenomenon does not
occur.
Date:
Time:
Place: Bilkent, Mathematics Seminar Room
SA-141
Tea and cookies will be served before the talk.