Representations of the discrete Heisenberg group on distribution spaces of two-dimensional local fields
代数学セミナー
開催期間
2016.1.22(金)
16:00 ~ 17:00
16:00 ~ 17:00
場所
九州大学 伊都キャンパス ウエスト1号館 中講義室 W1-C-515
講演者
Denis Osipov (Steklov Institute)
概要
I will describe the natural action of the discrete Heisenberg group that is the group of integer unipotent matrices of the third order, on the distribution space of a two-dimensional local field which appear from a flag on a two-dimensional arithmetic scheme. I calculate the traces of extended Heisenberg group in some irreducible subrepresentations of above representation as the classical Jacobi theta functions. The talk is based on joint paper with A.N. Parshin arXiv:1510.02423 [math.RT].