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Intersection of Arithmetic Cycles and Automorphic Forms

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Description: Workshop in the theme year on Number Theory and Analysis. Centre de Recherche en Mathematiques, Montreal, Canada; 12--16 December 2005.
Arithmetic cycles and automorphic forms Intersection of Arithmetic Cycles and Automorphic Forms 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.
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