Topology, Graphs, and Data

Wednesday, October 19, 2011 - 11:00am - 12:00pm
Lind 305
Isabel Darcy (The University of Iowa)
I will give two short introductory talks.

First, I will describe a graph where the vertices represent knots and the knots are connected by an edge if one can be converted to the other via an operation such as changing one crossing. These graphs were developed to better understand the action of proteins which can knot circular DNA. Some proteins will cut DNA and change the DNA configuration before resealing the DNA. Thus, if the DNA is circular, the DNA can become knotted.

Second, I will give a very elementary introduction to algebraic topology and how it can be used in a variety of applications.