#### Alladi Ramakrishnan Hall

#### Casselman-Wallach globalisation and its applications

#### Aprameyan Parthasarathy

##### University of Paderborn

*In this talk, we'll explain briefly the results on globalisations of Harish Chandra-modules due to Casselman and Wallach, and outline the main ideas of the proof. We'll then mention how this has important and interesting consequences such as giving a proof of the Helgason conjecture at the level of distributions, giving*

holomorphic extensions of K-finite vectors of admissible Banach representations etc.

Done