Non-unirational Hilbert Irreducibility and Galois Realisations of PSL(2,p^2)

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• Damián Gvirtz-Chen (University of Glasgow)
• Tuesday 24 February 2026, 14:30-15:30
• MR13.

If you have a question about this talk, please contact Tim Santens.

We establish non-unirational versions of Hilbert Irreducibility for all Hilbert modular surfaces which are of K3 type. The proof uses the multiple fibration method in combination with Shimura theory. As an application we prove new instances of the regular Inverse Galois Problem for the simple groups PSL subject to congruence conditions on p.

This talk is part of the Number Theory Seminar series.

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