### GEORGE MASON
UNIVERSITY

DEPARTMENT OF MATHEMATICAL
SCIENCES

COLLOQUIUM

SEPTEMBER 25, 2015

**Speaker: **
Jeffrey Adams, University of Maryland

**Title: ***
The Atlas of Lie Groups and Representations
*

**Abstract:**
One of the fundamental problems in the theory of Lie groups
is to classify the Unitary Dual of a group G: the irreducible
representations of G, acting on a (typically infinite dimensional)
Hilbert space, preserving the inner product. This is a very difficult
problem, unsolved except in some special cases, and the answer is
known to be very complicated.

The primary goal of the Atlas project is to compute the Unitary Dual
by computer, even though it is not obvious there is a finite algorithm
in principle, not to mention in practice. An important auxiliary goal
is to provide software for doing computations in Lie theory and
representation theory.

I'll discuss the current state of the project, in broad terms, and
talk about what we've learned by rethinking our entire subject in
computational terms.

**Time:** Friday, September 25, 2015, 3:30-4:20 p.m.

**Place:** Exploratory Hall, room 4106

**Refreshments** will be served at 3:00 p.m.

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491