3 papers
math.NT2023
On The Equivariant Tamagawa Number Conjecture
Samit Dasgupta, Mahesh Kakde, Jesse Silliman
Let be a totally real field and a finite abelian CM extension of . Using class field theory, we show that our previous result giving a strong form of the Brumer-Stark co…
math.NT2023
The Residually Indistinguishable Case of Ribet's Method for GL2
Samit Dasgupta, Mahesh Kakde, Jesse Silliman +1
Ribet's method provides a strategy for constructing a nontrivial extension of a -adic Galois representation by another such representation . Suppose we are working ov…
math.NT2023
The Brumer--Stark Conjecture over Z
Samit Dasgupta, Mahesh Kakde, Jesse Silliman +1
In this paper we give a complete proof of the Brumer-Stark conjecture over .