Speakers Burcu Baran (Università di Roma “Tor Vergata”) Jos Brakenhoff (Universiteit Leiden) Erwin Dassen (Universiteit Leiden) Preda Mihăilescu (Universität Göttingen) Filippo Nuccio (Università di Roma “Tor Vergata”) Willem Jan Palenstijn (Universiteit Leiden) Albert Picone (Università di Palermo) Klaas-Tido Rühl (EPFL Lausanne) René Schoof (Università di Roma “Tor Vergata”) Peter Stevenhagen (Universiteit Leiden) Marco Streng (Universiteit Leiden) Ivan Suarez Atias (EPFL Lausanne) Lara Thomas (EPFL Lausanne) Hendrik Verhoek (Università di Roma “Tor Vergata”)

Titles and abstracts: Burcu Baran "Arakelov class groups" Jos Brakenhoff "Class semi-groups for general orders" Erwin Dassen "The LLL algorithm" Preda Mihăilescu "On cyclic Lambda - modules in Zp-extensions of number fields" Filippo Nuccio "Cyclotomic units and class groups" Willem Jan Palenstijn "Entanglement and Artin's primitive root conjecture" Alberto Picone "Automorphisms of Hyperelliptic GAG-codes" Klaas-Tido Rühl "Annihilating Polynomials of Excellent Quadratic Forms" René Schoof "Buchmann's algorithm/Odlyzko's bounds" Peter Stevenhagen "Complex multiplication in low genus" Marco Streng "Class polynomials in genus 2" Ivan Suarez Atias " Lattices" Lara Thomas "Normal basis generators in p-extensions of local fields" Hendrik Verhoek "Group schemes of order 4"