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Title: Domains of holomorphy for irreducible admissible Banach representations
Speaker: Aprameyan Parthasarathy (Universitat Paderborn, Germany)
Date: 27 September 2016
Time: 4 pm
Venue: LH-1, Mathematics Department

In this talk, we will report on progress towards a conjecture of B. Krötz about the holomorphic extensions of non-zero K-finite vectors of irreducible admissible Banach representations of simple real Lie groups and the relation to a distinguished domain – the so-called crown domain. We will explain some of the main ideas – the Casselman–Wallach smooth globalisation, vanishing of matrix coefficients at infinity etc. Indeed we prove the conjecture with some additional growth conditions on the Banach globalisations. This is joint work with Gang Liu (Univ. Metz).

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 27 Feb 2024