Triplets spectraux en geometrie d'Arakelov
  This note is a brief overview of the results of math.AG/0205306. We use Connes' theory of spectral triples to provide a connection between Manin's model of the dual graph of the fiber at infinity of an Arakelov surface and the cohomology of the mapping cone of the local monodromy. 
Caterina Consani (Univ. Toronto), Matilde Marcolli (MPI)