Project B1: Theta lifts and equidistribution

Principal investigators
Prof. Dr. Claudia Alfes
Prof. Dr. Valentin Blomer
Investigators
Dr. Edgar Assing
Dr. Gabriele Bogo
Carlos Caralps
Dr. Noam Kimmel
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:
26028 Claudia Alfes, Paul KieferPDF
Magnetic orthogonal modular forms
Project: B1
26005 Gabriele Bogo, Yingkun LiPDF
Atkin polynomials for families of abelian varieties with real multiplication
Project: B1
26004 Gabriele Bogo, Yingkun LiPDF
Partial Hasse invariants for genus zero curves in Hilbert modular varieties
Project: B1
25087 Gabriele BogoPDF
Integrality of Picard-Fuchs differential equations of Kobayashi geodesics and applications
Project: B1
25059 Valentin Blomer, Ashay Burungale, Philippe Michel, Jun-Hwi MinPDF
Generation of Hecke fields by squares of cyclotomic twists of modular L-values
Project: B1