K3 surfaces and Galois representations (2-4 May, 2018)

Mini-conference organised by Martin Orr and Alexei Skorobogatov

The aim of this 3-day event is to bring together a small group of experts on K3 surfaces, their rational points, Brauer groups, moduli spaces, associated abelian varieties and Galois representations, to discuss recent progress and avenues for future research. The participants' accommodation is in Warren Lodge, the talks will take place in the Anchor.

Abstracts and slides of talks

Wednesday 2 May

9.30-10.30 Moonen "Images of Galois representations and the Mumford-Tate conjecture"

coffee break

11-12 Taelman "Ordinary K3 surfaces over finite fields"

12-12.40 Valloni "K3 surfaces and complex multiplication"

lunch

3-4 Zarhin "Superelliptic Jacobians, Brauer groups and Kummer varieties"

tea and scones

4.30-5.10 Nakahara "Index of fibrations and Brauer classes that never obstruct the Hasse principle"

5.20-6 Baldi "Local to global principle for the moduli space of K3 surfaces"

Thursday 3 May

9.30-10.30 Huybrechts "Finiteness of polarized K3 surfaces"

coffee break

11-12 Schütt "Singular K3 surfaces of class number 2"

12-12.40 Ieronymou "Zero-cycles on K3 surfaces over number fields"

lunch

3-4 Bright "Finiteness results for K3 surfaces over arbitrary fields"

tea and scones

4.30-5.30 Jahnel "Real and complex multiplication on K3 surfaces via period integration"

5.30-? discussion/poster session/open problems

Friday 4 May

9.30-10.30 Cadoret "On uniform boundedness of arithmetico-geometric invariants in one-dimensional families"

coffee break

11-11.40 Overkamp "Kummer surfaces and Galois representations"

11.50-12.30 Ambrosi "Specialization of Néron-Severi groups in positive characteristic"

lunch

3-4 Várilly-Alvarado “Cubic fourfold of discriminant 18 and odd-torsion Brauer-Manin obstructions to the Hasse Principle on general K3 surfaces”