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Jacobi forms and Kaneko--Zagier type equations

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Speaker: 
Dmitrii Adler
Affiliation: 
MPIM
Date: 
Tue, 22/04/2025 - 16:30 - 17:30
Location: 
MPIM Lecture Hall

For modular forms, the Kaneko--Zagier equation is a second-order differential equation with respect to the Serre derivative. Analogously, for Jacobi forms, there exists an analogue of the Serre derivative that increases the weight of a Jacobi form by 2 and preserves its index. It is not difficult to describe the kernel of this operator, but finding solutions of even second-order differential equations, known as Kaneko--Zagier type equations, is not such a trivial problem. In my talk, I will present some current progress on this topic.

 

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