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

Betti Tate's thesis and the trace of perverse schobers