Euler system, Eisenstein congruences and the p-adic Langlands correspondence

Euler system, Eisenstein congruences and the p-adic Langlands correspondence

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Eric Urban, Columbia University
Fine Hall 214

I will discuss how the use of the p-adic Langlands correspondence for GL_2(Q_p) allows to study Eisenstein congruences of various weight, level and slopes in order to construct Euler systems. I will discuss the GL(2)-case with some details and give some hints how to treat the symplectic case in the ordinary setting