ONLINE: Special cycles on orthogonal Shimura varieties (ACCESS LINK: https://bbb.mpim-bonn.mpg.de/b/gae-a7y-hhd)

Extending on the work of Kudla-Millson and Yuan-Zhang-Zhang, together with Yott we are constructing special cycles for a specific orthogonal Shimura variety. We further construct a generating series that has as coefficients the cohomology classes corresponding to the special cycle classes on the orthogonal Shimura variety and show the modularity of the generating series in the cohomology group over the complex numbers.