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This Book Provides A Comprehensive Account Of A Key, Perhaps The Most Important, Theory That Forms The Basis Of Taylorwiles Proof Of Fermat'S Last Theorem. Hida Begins With An Overview Of The Theory Of Automorphic Forms On Linear Algebraic Groups And Then Covers The Basic Theory And Recent Results On Elliptic Modular Forms, Including A Substantial Simplification Of The Taylorwiles Proof By Fujiwara And Diamond. He Offers A Detailed Exposition Of The Representation Theory Of Profinite Groups (Including Deformation Theory), As Well As The Euler Characteristic Formulas Of Galois Cohomology Groups. The Final Chapter Presents A Proof Of A Nonabelian Class Number Formula.
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