1. For colleges of supervisors referred to in Article 51(3) of Directive 2013/36/EU, the competent authority of the home Member State shall carry out the following tasks:
((a))
establish and update the mapping of an institution;
((b))
establish a supervisory college;
((c))
establish and update contact lists;
((d))
conclude and amend written coordination and cooperation arrangements.
2. For the purpose of paragraph 1, Articles 1 to 4 shall apply mutatis mutandis.