Project B1: Theta lifts and equidistribution

Principal investigators
Prof. Dr. Claudia Alfes
Prof. Dr. Valentin Blomer
Investigators
Dr. Edgar Assing
Dr. Gabriele Bogo
Dr. Paul Kiefer
Rebekka Strathausen
Summary:
Project B1 will target finer equidistribution problems for Heegner points on modular surfaces and go beyond the widely-established theory. The strategy to achieve this is to settle a link between twisted Weyl sums and Fourier coefficients of automorphic forms by constructing new theta lifts.

Recent preprints:
25019 Paul KieferPDF
Locally and Polar Harmonic Maass Forms for Orthogonal Groups of Signature (2,n)
Project: B1
24092 Edgar AssingPDF
Unipotent mixing for general moduli
Project: B1
24091 Edgar AssingPDF
New bounds for fundamental Fourier coefficients of Siegel modular forms
Project: B1
24054 Patrick Bieker, Paul KieferPDF
A converse theorem for Borcherds products in signature (2,2)
Project: B1
24047 Claudia Alfes, Baptiste Depouilly, Paul Kiefer, Markus SchwagenscheidtPDF
Cycle integrals of meromorphic Hilbert modular forms
Project: B1