Tel Aviv University - Colloquium
 
Hello everyone,
 
The first colloquium talk of the semester will be held on Monday, 21/2/2011,
12:15, Schreiber 006, Tel Aviv University. The speaker is
 
    Dima Gourevitch (Weizmann Institute of Science)
 
and the title of his talk is
 
    Measuring representations of GL(n,R)
 
The abstract is given below. Tea and coffee at 12:00, same room.
 
Hope to see you there. For information about future colloquiua, see
 <http://www.math.tau.ac.il/~klartagb/colloq_2010.html>
You are all welcome to suggest colloquium speakers for April, May and June.
 
Yours,
Bo'az
 
-------------------------
 
Abstract: We will start from representation theory of finite groups. I will
define representation, and explain some basic notions such as irreducible
representation, regular representation, character, restriction and
induction, Mackey theory. Then I will intuitively explain how some of those
notions generalize to unitary representations of the infinite  (but
algebraic and reductive) group GL(n,R), consisting of invertible n by n
matrices with real entries. To every irreducible unitary representation of
GL(n,R) we will attach several partitions of the number n that measure the
size of this representation in several ways. Our recent result, joint with
Siddhartha Sahi, says that all those partitions coincide.
If time permits, we will also formulate a result on non-unitary admissible
representations.
 
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Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Bo'az Klartag   <klartagb@post.tau.ac.il>