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Speaker:

Roberet Pollack
Affiliation:

Boston University/MPIM
Date:

Wed, 2017-11-22 16:30 - 17:20
Location:

MPIM Lecture Hall The computation of Hecke-eigenforms of weight at least 2 is readily accomplished through the

theory of modular symbols as these Hecke-eigensystems occur in the cohomology of modular

curves. However, the same is not true for weight 1 modular forms which makes computing

the dimensions of such spaces difficult let alone the actual system of Hecke-eigenvalues.

Recently effective methods for computing such spaces have been introduced building on an

algorithm of Kevin Buzzard. In this talk, we present a different, p-adic approach towards

computing these spaces which yields upper bounds on both their dimension and on the

systems of Hecke-eigenvalues which they can contain.

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