PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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
Abstract Link:http://
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

Room Number:MB106
Date:02 / 25 / 2014
Time:12:06pm - 02:06pm