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Eisenstein series via the Poincaré bundle and applications

URN to cite this document:
urn:nbn:de:bvb:355-epub-367290
DOI to cite this document:
10.5283/epub.36729
Sprang, Johannes
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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