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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Pure Maths Colloquium: A New Construction of Admissible Representations of $GL_{2}$

Presented by Victor Snaith, The University of Sheffield

4 March 2013 16:00 in CM221

Via the famous Langlands Programme irreducible, admissible
representations play a central role in modern number theory. Being a
representations these are just vector spaces on which a group acts
linearly. Unfortunately the groups in question tend to be locally
compact ones such as $GL_{n}$ of a local field or of the ring of
adeles of a number field. As a result the ominous adjective
``admissible'' hides a host of technicalities. On the other hand, by
comparison, a finite-dimensional representation
of a finite group is a simple object. In this talk I shall sketch how
to make the former
from the latter in a functorial manner and illustrate some potential

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