A cohomological approach to harmonic Maass forms

Abstract: We interpret a harmonic Maass form as a variant of a local cohomology class of the modular curve. This is not only amenable to algebraic interpretation, but also nicely generalized to other Shimura varieties, avoiding the barrier of Koecher's principle, which could be useful for developing a generalization of Borcherds lifts. In this talk, we will exhibit how the theory looks like in the case of Hilbert modular varities.

number theory

Audience: researchers in the topic

Comments: pre-talk

UCSD number theory seminar

Series comments: Most talks are preceded by a pre-talk for graduate students and postdocs. The pre-talks start 40 minutes prior to the posted time (usually at 1:20pm Pacific) and last about 30 minutes.