Organisers: Michel Balazard (CNRS, Laboratoire Poncelet) , Michael Tsfasman (CNRS, Laboratoire Poncelet, Institute for Information Transmission Problems) , Alexey Zykin (Laboratoire Poncelet, State University Higher School of Economics) . ... The situation over number fields is almost entirely conjectural, the situation over function fields of finite characteristic is much better. ... The work over function fields is joint with Amilcar Pacheco (Rio, Brazil) . Poncelet Laboratory web page . ...