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Modularity properties of false theta functions

Posted in
Speaker: 
Jonas Kaszian
Affiliation: 
MPIM
Date: 
Wed, 2020-07-22 14:30 - 15:30
Parent event: 
Number theory lunch seminar

Theta functions for positive definite and indefinite lattices are important examples of modular forms and mock-modular forms. Changing signs in the definition of theta functions breaks these modular symmetries and produces so-called false theta functions instead. By applying lessons from the study of indefinite theta functions, one can construct modular completions for these false theta functions, which I want to present in this talk.

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