Joint meeting of the AMS, DMV, and ÖMG

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

Session IV: Sunday June 19, 12:30-15:20

12:30-13:20

Speaker: Klaus Künnemann

Title: Characteristic classes in arithmetic Hodge cohomology

Abstract: We introduce arithmetic extension groups for vector bundles on arithmetic varieties which behave formally very similiar to the arithmetic Chow groups introduced by Gillet and Soulé. We construct characteristic classes for hermitian vector bundles in arithmetic Hodge cohomology.