### GEORGE MASON
UNIVERSITY

DEPARTMENT OF MATHEMATICAL
SCIENCES

COLLOQUIUM

NOVEMBER 16, 2018

**Speaker: **
Matt Douglass, National Science Foundation

**Title: ***
A decomposition of tensor space and Schur-Weyl duality
*

**Abstract: **
Schur-Weyl duality is a classical correspondence that relates irreducible subspaces of r-fold tensor space with representations of the r-th symmetric group that goes back to Schur’s thesis in 1927. In this talk I’ll discuss a natural refinement of Schur-Weyl duality that incorporates the action of an r-cycle on r-fold tensor space. This refinement leads to new questions about the combinatorics of representations of symmetric groups.

**Time:** Friday, November 16, 2018, 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