Haruzo Hida
UCLA
November 17, 2022
Background of modular p-adic deformation theory and a brief outline: The deformation theory of modular forms is increasingly attracting many researchers in arithmetic geometry as it has been an important step in the proof of Fermat's last theorem by Wiles (and Taylor) and supplied an effective tool for the study of the $p$-adic Birch and Swinnerton Dyer conjecture in the proof by Skinner-Urban of divisibility of the characteristic power series of the Selmer group of a rational elliptic curve by its $p$-adic $L$-function under appropriate assumptions. I try to give my background motivation of creating the theory and describe an outline of the theory.
UCLA
November 17, 2022
Background of modular p-adic deformation theory and a brief outline: The deformation theory of modular forms is increasingly attracting many researchers in arithmetic geometry as it has been an important step in the proof of Fermat's last theorem by Wiles (and Taylor) and supplied an effective tool for the study of the $p$-adic Birch and Swinnerton Dyer conjecture in the proof by Skinner-Urban of divisibility of the characteristic power series of the Selmer group of a rational elliptic curve by its $p$-adic $L$-function under appropriate assumptions. I try to give my background motivation of creating the theory and describe an outline of the theory.