### GEORGE MASON
UNIVERSITY

DEPARTMENT OF MATHEMATICAL
SCIENCES

COLLOQUIUM

SEPTEMBER 9, 2016

**Speaker: **
Swatee Naik, University of Nevada, Reno

**Title: ***
Symmetries of Knots
*

**Abstract:**
Spaces that locally look like the three-dimensional world we live in are called three dimensional manifolds. Knotted circles are closely related to such spaces, and properties of knots can be reflected in related properties of manifolds. In this talk we will discuss knots, three and four dimensional manifolds, and a cyclic symmetry known as periodicity. We will introduce invariants that arise from topology and algebra and show how they provide obstructions to knot periodicity.

**Time:** Friday, September 9, 2016, 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