Betti Tate's thesis and the trace of perverse schobers
Representation Theory
2025-04-01 v2 Algebraic Geometry
Symplectic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.2210.06548,
title = {Betti Tate's thesis and the trace of perverse schobers},
author = {Benjamin Gammage and Justin Hilburn},
journal= {arXiv preprint arXiv:2210.06548},
year = {2025}
}
Comments
12 pages. Final version, to appear in C. R. Math