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|
|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
|Date:||09 / 29 / 2011|
|Time:||11:15am - 12:05pm|