Seminars: Scheithauer Nils, Automorphic Borcherds products of singular weight

SEMINARS


Automorphic forms and their applications November 17, 2015, Moscow

Automorphic Borcherds products of singular weight Scheithauer Nils Technische Universität Darmstadt, Department of Mathematics
https://youtu.be/uFOWbF-v_pg Abstract: We describe some new structure results for automorphic products of singular weight. First we give a simple characterisation of the Borcherds function $\Phi_{12}$. Second we show that holomorphic automorphic products of singular weight on lattices of prime level exist only in small signatures and we derive an explicit bound. Finally we give a complete classification of reflective automorphic products of singular weight on lattices of prime level. Language: English