Arithmetic of K3 Surfaces

Banff, November 30 -- December 5

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Abstracts, relevant papers, and slides
More references
Open problems


(detailed PDF-version)

8.45-9.00 Introduction by BIRS
9.00-10.00 Olivier Wittenberg, Brauer groups and rational points of K3 surfaces
10.20-11.05Alessandra Sarti, Automorphism Groups of K3 Surfaces
11.15-12.00 Thomas Dedieu, Self-rational maps of K3 surfaces, action on rational points and on nodal curves
12.00-15.45   lunch, informal discussion, tour of Banff Centre, coffee
15.45-16.45 Matthias Schuett, K3 surfaces and modular forms
17.00-18.00 Open Problems
18.00-19.30 Dinner

9.00-10.00 Arnaud Beauville, Algebraic cycles on K3 and derived equivalences
10.20-11.20   Tetsuji Shioda, Mordell-Weil Lattices of Certain Elliptic K3 Surfaces
11.30-12.15   Martin Bright, Computing Brauer-Manin obstructions on diagonal quartic surfaces
12.15-15.45 lunch, informal discussion, coffee
15.45-16.45Chad Schoen, Calabi-Yau threefolds with vanishing third Betti number
17.00-18.00 Ronald van Luijk, The analogue of the Batyrev-Manin conjecture for K3 surfaces
18.00-19.30 Dinner

9.00-10.00 Arthur Baragar, Finding automorphisms on K3 surfaces with small Picard number
10.20-11.20   Joe Silverman, Dynamics and canonical heights on K3 surfaces with noncommuting involutions
11.30-13.30 lunch
afternoon free
17.30-19.30 Dinner

9.00-10.00 Yuri Zarhin, Variants of the Tate conjecture with finite coefficients and their applications
10.20-11.20   Serge Cantat, Dynamics of Automorphisms
11.30-12.15 Evis Ieronymou, Transcendental Brauer group and counterexamples to weak approximation for diagonal quartic surfaces
12.15-12.20 group photo
12.20-15.30 lunch, informal discussion, coffee
15.45-16.45   Ekaterina Amerik, Potential density of rational points on the variety of lines of a cubic fourfold
17.00-18.00 Noriko Yui, On the modularity of certain K3 surfaces with non-symplectic group actions
18.00-19.30 Dinner

9.00-10.00 Michael Stoll, Searching for rational points on genus 2 Jacobians
10.20-11.20   Jaap Top, Arithmetic of a family of K3's with Picard number 19
11.30-13.30 lunch and informal discussion