Expansion and rationality of theta integrals (A05)

• Subject Area: Mathematics
• Term: since 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 444845124

The first two subprojects are concerned with computing Fourier expansions of theta integrals of real-analytic functions on hyperbolic spaces. Applications include giving new constructions of harmonic Maass forms associated to positive definite lattices, and proving new rationality results of theta lifts. The last two subprojects aim to calculate expansions of theta integrals at CM points and higher dimensional boundaries, in order to investigate the arithmetic information they contain.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 326: Geometry and Arithmetic of Uniformized Structures (GAUS)
• Applicant Institution: Goethe-Universität Frankfurt am Main
• Project Head: Dr. Yingkun Li, Ph.D.