Transcendental Brauer groups of cubic generalised Kummer surfaces

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• Giorgio Navone (LSGNT)
• Tuesday 03 March 2026, 15:30-16:30
• MR13.

If you have a question about this talk, please contact Dmitri Whitmore.

The Brauer-Manin obstruction to local-global principles relies on the understanding of the Brauer group of varieties. In particular, the transcendental Brauer group is a cohomological invariant that lacks a general strategy of approach. In this talk, we present recent work computing the transcendental Brauer group for a family of K3 surfaces, constructed from a planar cubic curve in a similar fashion to Kummer surfaces. Finally, we explain the arithmetic implications predicted by Skorobogatov’s conjecture.

This talk is part of the Number Theory Seminar series.

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