For more information about this meeting, contact Yakov Pesin, Sergei Tabachnikov.
|Title:||Discretized configuration spaces|
|Seminar:||Department of Mathematics Colloquium|
|Speaker:||Aaron Abrams, Department of Mathematics Emory University|
|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.|
Room Reservation Information
|Date:||10 / 06 / 2011|
|Time:||04:00pm - 05:00pm|