Return to Colloquia & Seminar listing
Lens space surgeries on knots in the 3-sphere
Student-Run Research Seminar| Speaker: | Mike Williams, UC Davis |
| Location: | 2112 MSB |
| Start time: | Wed, Apr 25 2007, 12:10PM |
An open problem in 3-dimensional topology and knot theory is to classify knots in the 3-sphere which admit lens space Dehn surgeries. It is conjectured that only certain knots, the so-called ``Berge knots", admit lens space surgeries. After defining the terms ``lens space" and ``Dehn surgery", I will discuss the conjectural picture for lens space surgeries and then give a sketch of my research on this conjecture.