Appears in collection : Cycles on moduli spaces / Cycles sur les espaces de modules

Generalizing the construction of the Kudla-Millson geometric theta function, Funke-Millson showed that generating series of cohomology classes of Funke-Millson cycles with values in a local system are modular. We show that these Funke-Millson cycles can be put into a Λ-adic family and show that the corresponding generating series is a Λ-adic family of modular forms. In particular, we obtain a Λ-adic Funke-Millson lift. This is work in progress with Lennart Gehrmann