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Joint Meeting of AMS, DMV, and ÖMG
June 16-19, 2005
Johannes Gutenberg University
Mainz, Germany

Organizers
Volker Bach, Mainz; Klaus D. Bierstedt, DMV; Susan Friedlander, Associate Secretary, AMS

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Higgs cohomology of local systems on Picard modular surfaces
by
Stefan Mueller-Stach
Dept. of Mathematics, University Mainz
Coauthors: Andrea Miller, Sigrid Wortmann (both Heidelberg), Kang Zuo (Mainz)

We prove L2-vanishing results for certain local systems on Picard modular surfaces. This has applications to Chow-Kuenneth decompositions for the total space of compactified universal families of Abelian 3-folds.

Date received: February 24, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caqd-10.