Venue
Conference Room, School of Mathematical Sciences
Speaker
Dr. Anup Kumar Singh
Affiliation
IISER Berhampur
Title
Representation formulas for certain quadratic forms and a problem of constructing lifting maps between spaces of modular forms.
In this talk, we shall discuss the theta series associated with positive definite integral quadratic forms and some of its applications in getting formulas for the number of representations of positive integers by quadratic forms, using the theory of modular forms. The second part of this talk is about the construction of the Shimura and Shintani mappings between certain subspaces of modular forms of half-integral weights and integral weight respectively.