Hybrid talk.
Contact for the zoom details of this talk: Jan-Willem Ittersum (ittersum@mpim-bonn.mpg.de)
We explain the principle whereby the existence of a Fano topology with certain numerical property might lead to congruences between automorphic forms, and prove an arithmetic--geometric counterpart of a congruence between a paramodular form and a Hilbert modular form by fibering out a Calabi--Yau motive.
Links:
[1] http://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/de/node/3444