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Projekt
The Equivariant Tamagawa Number Conjecture for the base change of an abelian variety
Antragsteller
Professor Dr. Werner Bley
Fachliche Zuordnung
Mathematik
Förderung
Förderung von 2010 bis 2015
Projektkennung
Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 171229853
This project is a complement to the algorithmic part of BL 395/3-1 where the Equivariant Tamagawa Number Conjecture (ETNC) of Burns and Flach is studied in the case of Tate motives. In this new project we want to consider ETNC for the base change of an abelian variety A which is defined over Q. Here ETNC is an equivariant refinement of the famous Birch and Swinnerton-Dyer conjecture. More explicitly, ETNC describes the leading terms of twisted Hasse-Weil-L-functions in terms of cohomological data associated to the motive which is attached to A. The aim of the project is to derive explicit formulations of these equivariant conjectures which makes them amenable to numerical verifications and to develop and implement algorithms in order to provide numerical evidence.
DFG-Verfahren
Schwerpunktprogramme
