Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Roberet Pollack
Affiliation:

Boston University/MPIM
Date:

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

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/7600

[4] http://www.mpim-bonn.mpg.de/node/7790