International Seminar on Automorphic Forms

Xiaoyu Zhang (University Duisburg-Essen)

Theta correspondence is a very important tool in Langlands program. A fundamental problem in theta correspondence is the non-vanishing of the theta lifting of an automorphic representation. In this talk, we would like to consider a mod p version of the non-vanishing problem for global theta correspondence for certain reductive dual pairs of unitary groups. We approach this by looking at the Fourier coefficients of the theta lifting and reduce the problem to the equidistribution of unipotent orbits.

https://tu-darmstadt.zoom.us/j/68048280736

The password is the first Fourier coefficient of the modular j-function (as digits).