View Proposal #217
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| ID | 217 |
|---|---|
| First Name | Dennis |
| Last Name | Roseman |
| Institution | University of Iowa |
| Speaker Category | faculty |
| Title of Talk | How likely is a lattice link? |
| Abstract | Lattice points in space are points with integer coordinates. A unit lattice edge is a line segment of unit length between lattice points. A lattice link is a finite collection union of lattice edges whose union is topologically equivalent to a union of disjoint circles. We define a notion of probability for lattice knots and links and use this to frame the question: which is more ``likely'', the square knot or the granny knot. A square knot is obtained by tying a right hand trefoil and a left had trefoil together; the granny knot is obtained by using two identical trefoils. We also discuss our progress towards calculation of these probabilities. |
| Subject area(s) | |
| Suitable for undergraduates? | Yes |
| Day Preference | |
| Computer Needed? | Y |
| Bringing a laptop? | |
| Overhead Needed? | |
| Software requests | |
| Special Needs | |
| Date Submitted | 4/9/2007 |
| Year | 2007 |