Number Theory Web Seminar: Alexei Skorobogatov (Imperial College London)

On uniformity conjectures for abelian varieties and K3 surfaces

I will discuss logical links among uniformity conjectures concerning K3 surfaces and abelian varieties of bounded dimension defined over number fields of bounded degree. The conjectures concern the endomorphism algebra of an abelian variety, the Néron–Severi lattice of a K3 surface, and the Galois invariant subgroup of the geometric Brauer group. The talk is based on a joint work with Martin Orr and Yuri Zarhin.

For further information about the seminar, please visit this webpage.

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