| Language |
English
|
| From |
2012/01/13 10:30
|
| To |
2012/01/13 12:00
|
| Place | Room 152, Building No.3, Faculty of Science, Kyoto University |
| Seminar Name | Algebra Geometrical Seminar |
| Title |
Complete Intersections of Two Rational Quadrics and Galois Cohomology |
| Field |
Analysis
|
| Speakers | Yasuhiro Ishitsuka |
| Affiliation | Kyoto |
| Abstract | In 2010, Manjul Bhargava and Arul Shankar showed that when all elliptic
curve over Q is ordered by height, the average rank of them is at most 1.5.
For proof, they used bijections between Galois cohomology of their
2-torsion subgroup and some orbits of linear representation. We extend one
of these bijection in case of hyperelliptic curves, and relate to complete
intersections of two quadrics. |
| Link | http://www.math.kyoto-u.ac.jp/~mhyo/agsem/agseminar.html |
|