See below for the titles of the talks.
Most talks took place in room G 19.1 of the main building of ETH Zürich, Rämistrasse 101. The talks on Thursday afternoon took place in room E 41.
Click here for more information on travel and local registration.
Tuesday, May 25
9:10-10:00: Tim Dokchitser - Parity predictions for ranks of elliptic curves
10:30-11:20: Massimo Bertolini - Rational points on elliptic curves and values of complex and p-adic L-functions
11:40-12:30: Andrew Sutherland - L-polynomial distributions of genus 2 curves
15:45-16:15: Samir Siksek - The generalized Fermat equation x3+y4+z5=0
16:30-17:00: Szabolcs Tengely - On the Diophantine equation x2+C=2yn
17:10-18:00: Nicholas Katz - Sato-Tate theorems for finite-field Mellin transforms
Wednesday, May 26
9:10-10:00: Jordan Ellenberg - Analytic number theory and spaces of rational curves
10:30-11:20: Andreas-Stephan Elsenhans - Arithmetic of cubic surfaces
11:40-12:30: Tim Browning - Cubic divisor problems and applications to the Manin conjecture
15:45-16:15: Sir Peter Swinnerton-Dyer - Density of rational points on certain K3 surfaces
16:30-17:00: Anthony Várilly-Alvarado - Transcendental obstructions to weak approximation on general K3 surfaces
17:10-18:00: Don Zagier - Rational points and special L-values
Thursday, May 27
9:10-10:00: Jörg Brüdern - Amalgamist's delight. Some cases of the Manin-Peyre Conjecture(s)
10:30-11:20: Ronald van Luijk - Computing Picard groups
11:40-12:30: Clemens Fuchs - Rational points parametrizing composite lacunary rational functions
15:45-16:15: Gordon Heier - On uniformly effective boundedness of Shafarevich Conjecture-type
16:30-17:00: Rafael von Känel - An effective Shafarevich theorem for elliptic curves
17:10-18:00: Trevor Wooley - Rational points, Fermat hypersurfaces and mean values of Weyl sums
Friday, May 28
9:10-10:00: Kiran Kedlaya - Numerical p-adic integration and (potential) applications to rational points
10:30-11:20: Nils Bruin - 2-descent on Jacobians of smooth plane quartics
11:40-12:30: N. Saradha - A problem on residue systems
15:45-16:15: Damiano Testa - Relative Weil restriction
16:30-17:00: Jan Steffen Müller - Computing canonical heights on Jacobians
17:10-18:00: Alan Baker - The abc-conjecture: a brief survey
Saturday, May 29
9:10-10:00: Emmanuel Peyre - Counting with versal torsors
10:30-11:20: Per Salberger - Density of rational points on covers of Pn
11:40-12:30: Yuri Tschinkel - Igusa integrals and volume asymptotics in analytic and adelic geometry