Collection Algèbre, Géométrie et Physique : une conférence en l'honneur
Organizer(s)
Date(s)
19/04/2024
Partitions, quasimodular forms, and Siegel-Veech constants
By Don Zagier
A beautiful theorem of Bloch and Okounkov, generalizing an earlier result of Kaneko and myself, says that the suitably defined generating functions of a large classof functions of partitions are quasimodular forms (i.e., polynomials in the classical Eisenstein series E_2, E_4 and E_6). We will explain the statement and an extremely short new proof of this theorem, and also describe joint work with Martin Möller giving applications to the computations of Teichmüller volumes and Siegel-Veech constants in the theory of flat surfaces.
