A λ-adic Family of Funke-Millson Cycles and a λ-adic Funke-Millson Lift

Explore a mathematical lecture on λ-adic families of Funke-Millson cycles and their applications to modular forms. Learn how Funke-Millson cycles, which generalize the Kudla-Millson geometric theta function construction, can be organized into Λ-adic families to create corresponding generating series that form Λ-adic families of modular forms. Discover the development of a Λ-adic Funke-Millson lift through this advanced mathematical framework. Examine how generating series of cohomology classes of Funke-Millson cycles with values in local systems exhibit modular properties, building upon foundational work by Funke and Millson. Follow the mathematical progression from classical constructions to modern λ-adic generalizations in this ongoing research collaboration with Lennart Gehrmann. Gain insights into the intersection of algebraic geometry, number theory, and modular forms through this specialized presentation delivered at the Centre International de Rencontres Mathématiques during their thematic meeting on "Cycles on moduli spaces."