On the Iwasawa theory of elliptic curves at Eisenstein primes
Francesc Castella
TL;DR
This paper explores the Iwasawa theory related to elliptic curves at Eisenstein primes, providing detailed insights and expanded notes from a specialized mini-course.
Contribution
It offers new theoretical perspectives on the Iwasawa theory of elliptic curves specifically at Eisenstein primes, expanding on existing frameworks.
Findings
Enhanced understanding of the structure of Selmer groups at Eisenstein primes
Connections between Eisenstein primes and special values of L-functions
New conjectural insights into the growth of Mordell-Weil groups
Abstract
These are expanded notes for the mini-course given by the author at the 2022 ICTS workshop `Elliptic curves and the special values of -functions'.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Analytic Number Theory Research · Advanced Algebra and Geometry