International Congress of Mathematicians

Eisenstein Series and Arithmetic Geometry 183[9] S. Kudla, Algebraic cycles on Shimura varieties of orthogonal type, Duke Math.J. 86 (1997), 39-78.[10] , Central derivatives of Eisenstein series and height pairings, Ann. ofMath. 146 (1997), 545-646.[11] , Derivatives of Eisenstein series and generating functions for arithmeticcycles, Sém. Bourbaki n° 876, Astérisque, vol. 276, 2002, pp. 341-368.[12] , Special cycles and derivatives of Eisenstein series, Proc. of MSRIWorkshop on Heegner points (to appear).[13] S. Kudla and J. Millson, Intersection numbers of cycles on locally symmetricspaces and Fourier coefficients of holomorphic modular forms in severalcomplex variables, Pubi. Math. IHES 71 (1990), 121-172.[14] S. Kudla and M. Rapoport, Arithmetic Hirzebruch-Zagier cycles, J. reineangew. Math. 515 (1999), 155-244.[15] , Height pairings on Shimura curves and p-adic unformization, Invent.math. 142 (2000), 153-223.[16] , Cycles on Siegel threefolds and derivatives of Eisenstein series, Ann.Scient. Éc Norm. Sup. 33 (2000), 695-756.[17] S. Kudla, M. Rapoport and T. Yang, On the derivative of an Eisenstein seriesof weight 1, Int. Math. Res. Notices, No.7 (1999), 347-385.[18] , Derivatives of Eisenstein series and Faltings heights, preprint (2001).[19] U. Kühn, Generalized arithmetic intersection numbers, J. reine angew. Math.534 (2001), 209-236.[20] W. J. McGraw, On the rationality of vector-valued modular forms, preprint(2001).[21] G. Shimura, Confluent hypergeometric functions on tube domains, Math. Annalen260 (1982), 269-302.[22] T. Yang, An explicit formula for local densities of quadratic forms, J. NumberTheory 72 (1998), 309-356.[23] , The second term of an Eisenstein series, Proc. of the ICCM, (toappear).[24] , Faltings heights and the derivative of Zagier's Eisenstein series, Proc.of MSRI workshop on Heegner points, preprint (2002).[25] D. Zagier, Modular points, modular curves, modular surfaces and modularforms, Lecture Notes in Math. 1111, Springer, Berlin, 1985, 225-248.