CMSA Algebraic Geometry in String Theory Seminar: Gauss-Manin connection in disguise: Quasi Jacobi forms of index zero

CMSA EVENTS

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November 2, 2021 10:30 am - 11:30 am
via Zoom Video Conferencing
Speaker:

Hossein Movasati - IMPA


We consider the moduli space of abelian varieties with two marked points and a frame of the relative de Rham cohomology with boundary at these points compatible with its mixed Hodge structure. Such a moduli space gives a natural algebro-geometric framework for higher genus quasi Jacobi forms of index zero and their differential equations which are given as vector fields. In the case of elliptic curves we compute explicitly the Gauss-Manin connection and such vector fields. This is a joint work with J. Cao and R. Villaflor. (arXiv:2109.00587)


https://harvard.zoom.us/j/98781914555?pwd=bmVzZGdlRThyUDREMExab20ybmg1Zz09