A class of non-holomorphic modular forms

Speaker:

Francis Brown

Affiliation:

IHES/All Souls College, University of Oxford

Date:

Mon, 22/05/2017 - 15:00 - 15:50

Location:

MPIM Lecture Hall [2]

Parent event:

Conference "Modular forms are everywhere" [3]

I will define an elementary theory of non-holomorphic modular forms and
describe some of its basic properties.
Within this family, there exists a class of functions which correspond
to certain mixed motives.
They are constructed out of single-valued iterated integrals of holomorphic
modular forms, and are closely related to a problem in string theory.