Automorphic Forms and Applications: D. Adler (NRU HSE)

The Seminar Automorphic Forms and Applications will take place on Nov 20 at 18:00 in the room 306

D. Adler (NRU HSE) will give a talk «The ring of weak Jacobi forms for root lattices of D_n type»

Abstract: In 1992 K. Wirthmüller claimed in his article that the spaces of Jacobi forms associated with root lattices (except E_n) have the structure of a free algebra over the ring of modular forms. However, his proof contains some weak points, especially in the case of D_n lattices. In my talk I will present an alternative proof of Wirthmüller's result for this type of lattices and, moreover, I will construct generators of corresponding algebras in an explicit way.