| Résume | In the 1980s, Kudla and Millson developed a general framework to construct holomorphic modular forms whose Fourier coefficients are intersection numbers of cycles in locally symmetric spaces attached to orthogonal groups. I will present an analogous construction for the symmetric space of SL(N), which is also related to the construction of certain Eisenstein classes by Bergeron–Charollois–Garcia. If time permits, I will mention ongoing joint work with Marti Roset and Peter Xu relating this construction to the work of Darmon–Pozzi–Vonk on a p-adic Kudla program. |
