View Proposal #428
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| ID | 428 |
|---|---|
| First Name | Christine |
| Last Name | Caples |
| Institution | University of Iowa |
| Speaker Category | graduate student |
| Title of Talk | Tangle Classification |
| Abstract | A knot can be thought of as a knotted piece of string with the ends glued together. A tangle is formed by intersecting a knot with a 3-dimensional ball. The portion of the knot in the interior of the ball along with the fixed intersection points on the surface of the ball form the tangle. Tangles can be used to model protein-DNA binding, so another way to think of a tangle is in terms of segments of DNA (the strings) bounded by the protein complex (the 3-dimensional ball). Like knots, the same tangle can be represented by multiple diagrams which are equivalent under deformations (no cutting or gluing allowed). A tangle invariant is a value that is the same for equivalent tangles. Tangles can be classified into families which allows one to study properties of tangles that may be useful for solving tangle equations. This talk will be an introduction to knot theory and will investigate how tangle invariants can be used to classify tangles. |
| Subject area(s) | Knot Theory |
| Suitable for undergraduates? | Y |
| Day Preference | SaturdayMild |
| Computer Needed? | Y |
| Bringing a laptop? | N |
| Overhead Needed? | N |
| Software requests | |
| Special Needs | |
| Date Submitted | 09/21/2015 |
| Year | 2015 |