Семинары: Scheithauer Nils, Automorphic Borcherds products of singular weight

СЕМИНАРЫ


Автоморфные формы и их приложения 17 ноября 2015 г., г. Москва, факультет математики НИУ ВШЭ, Усачёва улица, дом 6, комната 306 (3 этаж)

Automorphic Borcherds products of singular weight Scheithauer Nils Technische Universität Darmstadt, Department of Mathematics
https://youtu.be/uFOWbF-v_pg Аннотация: 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. Язык доклада: английский