Arithmetic Study Group: Non-abelian Congruences and Eisenstein Series
10 December 2013 17:00 in CM 105
In this talk I will discuss the so-called "Torsion Congruences" for the Tate motive. I will briefly discuss their relation to the existence of the non-abelian $p$-adic $L$-function for the Tate motive and then, following the work of Ritter and Weiss, I will explain how one can use the theory of Eisenstein series to prove them. After that I will also consider the Torsion Congruences for other motives, as for example the ones attached to Hecke Characters of CM fields.
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