Speaker: Dr Anna Puskas
Affiliation: University of Queensland


Classical matrix groups over local fields play a central role in number theory. Their structure can be understood in terms of discrete data, and therefore some important objects in their representation theory have combinatorial constructions. In this talk, we will talk about some of these objects: metaplectic Iwahori-Whittaker functions. Formulas for Whittaker functions have been given in terms of a modified group action of the symmetric group (by work of Chinta-Gunnells, Chinta-Offen, McNamara), as well as using combinatorial devices such as highest-weight crystals. These can be related and better understood using representations of the Iwahori-Hecke algebra. This theory carries over to the infinite-dimensional setting, and connects with work on double affine Hecke algebras, where several intriguing open questions remain.

About Maths Colloquium

The Mathematics Colloquium is directed at students and academics working in the fields of pure and applied mathematics, and statistics. 

We aim to present expository lectures that appeal to our wide audience.

Information for speakers

Information for speakers

Maths colloquia are usually held on Mondays, from 2pm to 3pm, in various locations at St Lucia.

Presentations are 50 minutes, plus five minutes for questions and discussion.

Available facilities include:

  • computer 
  • data projector
  • chalkboard or whiteboard

To avoid technical difficulties on the day, please contact us in advance of your presentation to discuss your requirements.


Priestley Building (67)
442 (or via zoom: https://uqz.zoom.us/j/81688396546)