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Eisenstein series via the Poincaré bundle and applications

Sprang, Johannes (2018) Eisenstein series via the Poincaré bundle and applications. PhD, Universität Regensburg.

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Date of publication of this fulltext: 12 Feb 2018 10:04

Abstract (English)

We give a new purely algebraic construction of real-analytic Eisenstein series via the Poincaré bundle. Building on this, we explicity describe the realization of the elliptic polylogarithm in algebraic de Rham cohomology as well as in syntomic cohomology. This generalizes results of Scheider, Bannai-Kobayashi-Tsuji and Bannai-Kings. The syntomic polylogarithm plays an important role for ...

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Translation of the abstract (German)

Wir entwickeln eine neue rein algebraische Konstruktion reel-analytischer Eisensteinreihen unter Verwendung des Poincaré-Bündels. Darauf aufbauende beschreiben wir explizit die de Rham Realisierung und die syntomische Realisierung des elliptischen Polylogarithmus. Dies verallgemeinert Resultate von Scheider, Bannai-Kobayashi-Tsuji und Bannai-Kings. Der syntomische Polylogarithmus spielt eine ...

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Item type:Thesis of the University of Regensburg (PhD)
Date:12 February 2018
Referee:Prof. Dr. Guido Kings and Prof. Dr. Shinichi Kobayashi
Date of exam:19 May 2017
Institutions:Mathematics > Prof. Dr. Guido Kings
Keywords:Eisenstein-Kronecker series, real-analytic Eisenstein series, polylogarithm, de Rham cohomology, syntomic cohomology, p-adic interpolation
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:36729
Owner only: item control page

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