Iwasawa main conjecture for the Carlitz cyclotomic extension and applications - Anglès, Bruno (Université de Caen. Laboratoire de Mathématiques Nicolas Oresme (France)) ; Bandini, Andrea (Università degli Studi di Parma. Dipartimento di Matematica e Informatica (Italy)) ; Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Longhi, Ignazio (Xi'an Jiaotong-Liverpool University. Department of Mathematical Sciences (China))