|
СЕМИНАРЫ |
Семинар по арифметической алгебраической геометрии
|
|||
|
On transfer of automorphic structures related with orthogonal and symplectic groups A. N. Andrianov St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences |
|||
Аннотация: An automorphic structure related with (arithmetical) discrete subgroup of a Lie group is a diagonalizable linear representation of Hecke–Shimura algebra of this discrete subgroup on a space of automorphic forms by Hecke operators together with Euler products (zeta functions) associated to common eigenfunctions of the operators. By transfer of automorphic structures related with two groups we understand an embedding of corresponding spaces of automorphic forms compatible with the action of Hecke operators and relatting the relevant zeta functions. Traditionally they were considering "lifts" of automorphic structures to similar groups of higher order such as lifts of automorphic structures on |