Indefinite theta series via incomplete theta integrals

Abstract: Positive definite theta series have been a classical tool in the arithmetic of quadratic forms and also in the theory of modular forms. In comparison, the indefinite case has been less studied. In this talk we will explain how indefinite theta series naturally arise in the context of symmetric spaces of orthogonal type and discuss recent developments inspired by mathematical physics. This is joint work with Steve Kudla.

number theory

Audience: researchers in the topic

London number theory seminar

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For a record of talks predating this website see: wwwf.imperial.ac.uk/~buzzard/LNTS/numbtheo_past.html