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Seminar by Dr. Anup Kumar Singh (Over Skype)

Wednesday, July 1, 2020 - 16:00 to 17:00
Conference Room, School of Mathematical Sciences
Dr. Anup Kumar Singh
IISER Berhampur
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.

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School of Mathematical Sciences

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