Speaker: Chandrashekhar Khare
Affiliation: University of California, Los Angeles
Title of Talk: Congruences between modular forms and the Bloch-Kato conjecture for adjoints of modular forms
Date: April 02, 2025
Time: 11:00:00 Hours
Venue: A-369

Abstract: In work with Srikanth Iyengar and Jeff Manning we have developed the numerical criterion of Wiles-Lenstra-Diamond which played a key role in Wiles's original results on modularity of elliptic curves over the rationals. I will begin by explaining the context of our work and the new commutative algebra results we prove. Our work seems to give an approach to proving new cases of the Bloch-Kato formula for the special value L(1,Ad_f) of the degree 3 adjoint L-function arising from a newform f which have not been addressed in previous work. I will explain the approach and the new questions it leads to.