Fall 2025

MATH GR8674 TOPICS IN NUMBER THEORY

Instructor: Eric Urban
Day/Time: MW 01:10 – 02:25PM
Location: 507 MATH

Title: Eisenstein congruences and Euler systems for Siegel modular forms
Abstract: The goal of this course is to construct an Euler system attached to the standard Galois representations and corresponding p-adic L-function of an p-ordinary Siegel modular form of arbitrary genus. Some of the ingredients for the construction are the study of the deformation of reducible Galois representations , an application of the p-adic Langlands correspondance, vanishing theorems of Yang-Zhu for the cohomology of Shimura varieties and a generalization of a p-adic Eichler-Shimura-Ohta map.

 

https://vergil.columbia.edu/vergil/course/20253/26838/12929

 

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