Program
Simons symposium 2015
K3 surfaces
Christian Liedtke (Munich):
Good Reduction of K3 Surfaces
Daniel Huybrechts (Bonn):
Curves and cycles on K3 surfaces
Martin Olsson (Berkeley):
The derived Torelli theorem for K3 surfaces and applications
Arend Bayer (Edinburgh):
Derived automorphism groups of K3 surfaces of Picard rank one
Moduli spaces
Gavril Farkas (HU Berlin):
A uniformization for the moduli space of abelian varieties of dimension six
Klaus Hulek (Hannover and IAS):
Moduli of Enriques surfaces
Anthony Várilly-Alvarado (Rice):
Kodaira dimension of moduli of special cubic fourfolds
Geometry of holomorphic symplectic varieties
Ljudmila Kamenova (Stony Brook):
Vanishing of the Kobayashi pseudometric on K3 surfaces and hyperkähler manifolds
Misha Verbitsky (Moscow):
Proof of Morrison-Kawamata conjecture for hyperkähler manifolds
Arithmetic problems
Francois Charles (Orsay):
Exceptional isogenies of elliptic curves and Frobenius distribution
Alena Pirutka (École Polytechnique):
Integral Tate conjecture for cubic fourfolds
Nick Katz (Princeton):
Simple things we don't know
Yuri Zarhin (Penn State):
Families of abelian varieties with big l-adic monodromy
Categorical approaches
Ludmil Katzarkov (Miami and Vienna):
Sheaf of categories and 4 dimensional cubics
Emanuele Macri (Northeastern):
Stability conditions on threefolds
Paolo Stellari (Milano):
Stability conditions on threefolds 2