For more information about this meeting, contact Robert Vaughan.
| Title: | Zero Cycles on Principal Homogeneous Spaces |
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| Seminar: | Algebra and Number Theory Seminar |
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| Speaker: | Jodi Black, Bucknell University |
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| Abstract: |
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| 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 |
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| Date: | 09 / 29 / 2011 |
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| Time: | 11:15am - 12:05pm |
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