Haruzo Hida
University of California at Los Angeles
November 28, 2024
Iwasawa's dream: We first discuss Conjectures/Problems (in cyclotomic theory) Iwasawa described in one of his final unpublished manuscripts. Then if time allows, we indicate which of his problems has generalizations in more general settings of adjoint Selmer groups via the theory of modular forms. In the general case, the Iwasawa algebra is replaced by a universal deformation ring (which is a $p$-adic Hecke algebra by a theorem of Taylor--Wiles). We encounter new interesting features related to Iwasawa's question in the general case.
University of California at Los Angeles
November 28, 2024
Iwasawa's dream: We first discuss Conjectures/Problems (in cyclotomic theory) Iwasawa described in one of his final unpublished manuscripts. Then if time allows, we indicate which of his problems has generalizations in more general settings of adjoint Selmer groups via the theory of modular forms. In the general case, the Iwasawa algebra is replaced by a universal deformation ring (which is a $p$-adic Hecke algebra by a theorem of Taylor--Wiles). We encounter new interesting features related to Iwasawa's question in the general case.