The role and duties of the Presidency involve:
The management and enhancement of cooperation between EU members in the European Council, the Council of Ministers, and the Committee of Permanent Representatives (COREPER).
The representation of the Council of the European Union in other EU institutions and organs (especially the European Parliament and the Commission).
The representation of the EU in international organisations, meetings, fora, and in its relations with third countries.
European Council: Presidency Conclusions
EU Presidency websites