  We propose a conjecture on the categorical trace of the 2-category of
perverse schobers (expected to model the Fukaya-Fueter 2-category of a
holomorphic symplectic space). By proving a Betti geometric version of Tate's
thesis, and combining it with our previous 3d mirror symmetry equivalence and
the Ben-Zvi--Nadler--Preygel result on spectral traces, we are able to
establish our conjecture in the simplest interesting case.
