Reciprocity Laws for (_L, _L)-Modules over Lubin-Tate Extensions.

In the Lubin-Tate setting we study pairings for analytic (<sub>L</sub>, <sub>L</sub>)-modules and prove an abstract reciprocity law which then implies a relation between the analogue of Perrin-Rious big exponential map as developed by Berger and Fourquaux and a -adic regulato...

Ausführliche Beschreibung

Gespeichert in:
Hauptverfasser:
Schneider, Venjakob
Format:
Elektronisch E-Book
Sprache:
Englisch
Veröffentlicht:
EMS Press 2025
Zusammenfassung:
In the Lubin-Tate setting we study pairings for analytic (<sub>L</sub>, <sub>L</sub>)-modules and prove an abstract reciprocity law which then implies a relation between the analogue of Perrin-Rious big exponential map as developed by Berger and Fourquaux and a -adic regulator map whose construction relies on the theory of Kisin-Ren modules generalising the concept of Wach modules to the Lubin-Tate situation.
Umfang:
1 Online-Ressource (194 Seiten)
text file PDF
ISBN:
9783985476008
ISSN:
2747-9099
Zugangseinschränkungen:
Open Access
Schlagworte:
Mathematics
Algebra
Groups & group theory
Number theory
Calculus & mathematical analysis
Algebraic geometry
Galois cohomology
Rigid analytic geometry
Representations of Lie and linear algebraic groups over local fields
Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis
Power series rings
Formal power series rings
Iwasawa theory
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