Number/Representation Theory

The Kudla-Millson lift is a map from the homology in degree q of a locally symmetric space associated to SO(p,q), to modular forms of weight (p+q)/2. It maps a cycle C to a modular form whose Fourier coefficients are intersection numbers between C and a family of special cycles on the locally symmetric space. I will present a similar construction for a locally symmetric space associated to SL_N, which is also related to recent work of Bergeron-Charollois-Garcia.