School of Mathematics Colloquium

Non vanishing of Jacobi Poincar\'e series and the structure of Hermitian Jacobi forms.

by Dr. Soumya Das (TIFR)

Thursday, October 28, 2010 from to (Asia/Kolkata)
at Colaba Campus ( AG-69 )
Description
It is known that the Poincar\'e series span the space of cusp forms for several types of modular forms. However it is in general an open question to decide which of them do not vanish identically. We give some sufficient conditions for the non vanishing of Poincar\'e series for Jacobi group over the integers. We also discuss several structural properties of Hermitian Jacobi forms and some questions related to their structure as a module over the algebra of elliptic modular forms. 
Organised by Aravindakshan T