PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan.

Title:Zero Cycles on Principal Homogeneous Spaces
Seminar:Algebra and Number Theory Seminar
Speaker:Jodi Black, Bucknell University
Abstract:
Jean Pierre Serre has asked the following: "Let $k$ be a field, let $G$ be a connected linear algebraic group over $k$ and let $X$ be a principal homogeneous space under $G$ and over $k$. If $X$ admits a zero cycle of degree one, does $X$ have a $k$-rational point?" We use Galois Cohomology to study this question and produce a positive answer in special cases. We also consider possible extensions of this result to zero cycles of more general degree.

Room Reservation Information

Room Number:MB106
Date:09 / 29 / 2011
Time:11:15am - 12:05pm