Gieseker–Knörrer–Trubowitz conjecture on irreducibility of Fermi varieties

Less than 1 year old · traced to 2026

Let $q_1$ and $q_2$ be two distinct odd primes, and let $V$ be a nonconstant real-valued $q_1\be Z\binom{}{}\oplus q_2\be Z$ -periodic potential. For $[?]$

References

Primary source

Taylor Brysiewicz, Matthew Faust and Wencai Liu, “A counterexample to Fermi isospectral rigidity for two dimensional discrete periodic Schrödinger operators”, arXiv:2603.11183 (2026).

algebraic-geometry discrete-schrodinger-operators spectral-theory

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