I will discuss ongoing work with Jan Bruinier and Shaul Zemel on constructing special cycles of dimension 0 on toroidal compactifications of orthogonal Shimura varieties. We show the modularity of the generating series that have these special cycles as coefficients, generalizing the compact case.
Links:
[1] https://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/de/node/3444
[3] https://www.mpim-bonn.mpg.de/de/node/11596