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Torsions in Cohomology of arithmetic groups and congruence of modular forms

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Taiwang Deng
Université Paris 13, Institut Galilée/MPIM
Wed, 2019-03-06 14:30 - 15:30
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

In this talk I will discuss the torsion classes in the cohomology of SL_2(Z)  as well as its variant with compact support.
As a consequence, we show how to deduce congruences of cuspidal forms with Eisenstein classes modulo small primes.
This generalizes the previous results on Ramanujan tau functions.

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