Event Type:

Department Colloquium

Date/Time:

Tuesday, March 15, 2011 - 06:00

Location:

Kidder 350

Guest Speaker:

Institution:

Emory University

Abstract:

Configuration spaces model the collective motions of several objects,

such as cars on a road, packets across a network, robots in a factory, or

molecules in a solution. They also arise naturally in mathematics, and

topologists have studied them for decades.

In some contexts it is natural to approximate continuous motions by

discrete ones, thereby constructing a corresponding discretized

configuration space. We can then employ combinatorial techniques,

in addition to topological ones, for their study.

In this talk I will describe one way to carry out this discretization process,

and I will give some examples and applications in topology, geometry,

combinatorics, group theory, and robotics.

Host: