Intersection of Arithmetic Cycles
and Automorphic Forms

December 12-16, 2005
Centre de recherches mathématiques
Organizers: Eyal Goren and Henri Darmon (McGill)

The purpose of this workshop is to explore the relationship between intersection numbers for arithmetic cycles on Shimura varieties, Fourier coefficients of automorphic forms, and special values of L-functions. Spectacular examples include the Gross-Zagier formula for the arithmetic intersection of singular moduli, heights of Heegner points and derivatives of L-functions, the Hirzebruch-Zagier cycles and derivatives of Eisenstein series, elliptic units, as well as recent work in higher dimensional cases.

We plan on having survey talks on these key results, and exploring directions pointing to a more extensive picture. For that end we wish to learn more on the geometry of higher dimensional moduli varieties, deformation theory, arithmetic cycles and automorphic forms.

The workshop will be held in the Centre des Recherches Mathematiques (CRM) in Montreal as part of the theme year on Number Theory and Analysis. Activity on closely related topics is also being held at the CRM - Spain, not to be confused with CRM in Montreal. Here is the link.

This workshop has been subsidized by NSERC, FQRNT, NATO, NSF and CRM.