For more information about this meeting, contact Becky Halpenny.
|Title:||"Fibrations of Euclidean Space by Skew Flat Fibers"|
|Seminar:||Ph.D. Oral Comprehensive Examination|
|Speaker:||Mike Harrison, Adviser: Sergei Tabachnikov/Kris Wysocki, Penn State|
|Two copies of R^p are called skew if they neither intersect nor contain parallel directions. We discuss a recent result of Ovsienko and Tabachnikov which gives conditions on p and n for the existence of a fibration of R^n by pairwise skew, oriented copies of R^p. We then provide some positive results in the direction of classifying skew fibrations, including a slight generalization of Salvai's recent characterization of smooth, skew fibrations in the case where n=3 and p=1. To conclude, we examine the relationship between spherical fibrations and flat fibrations, and we offer a number of avenues for further study in this area.|
Room Reservation Information
|Date:||02 / 25 / 2014|
|Time:||12:06pm - 02:06pm|