Joint meeting of the AMS, DMV, and ÖMG

Special session on algebraic cycles
Eric Friedlander, Marc Levine and Fabien Morel, organizers

Session II: Saturday June 18, 12:30-15:00

Speaker: Stefan Müller-Stach

Title: Higgs cohomology of local systems on Picard modular surfaces

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