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Speaker:

Roelof Bruggeman
Affiliation:

Universiteit Utrecht
Date:

Mon, 2017-05-22 11:00 - 11:50
Location:

MPIM Lecture Hall
Parent event:

Conference "Modular forms are everywhere" I'll speak about joint work with YoungJu Choie and Nikos Diamantis on

the cocycles that one can attach to holomorphic modular forms. Knopp

has shown that there is a generalization of the classical

Eichler-Shimura theory tocusp forms of real weight. We consider a map

to cohomology from the space of holomorphic functions with modular

transformation behavior (without any growth condition at the cusps).

For weights that are not integers at least two the results differ

considerably from the classical Eichler-Shimura theory, and are

analogous to earlier results for Maass wave forms studied by Don

Zagier, John Lewis and me.

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