| 発表言語 |
英語
|
| 開催日 |
2011年07月15日 10時30分
|
| 終了日 |
2011年07月15日 12時00分
|
| 開催場所 | 京都大学理学部3号館 (数学教室) 152号室 |
| セミナー名 | 代数幾何学セミナー |
| タイトル |
Vector bundles destabilized by Frobenius, opers and the Hitchin Mochizuki Morphism |
| 分野 |
代数
幾何
|
| 講演者名 | Kirti Joshi |
| 講演者所属 | University of Arizona |
| 概要 | Let X be a smooth projective curve of genus at least two over an
algebraically closed field of positive characteristic. It was observed long
time ago that there exists stable vector bundles on X which become unstable
on pull-back under the Frobenius morphism of X. In a recent joint work with
Christian Pauly we have given an explicit description of all such vector
bundles or rank r under the assumption that the characteristic is greater
than an explicit constant depending on the rank r and the genus g.
In this talk I will describe these results and also the relation to opers
and the Hitchin-Mochizuki morphism. The talk is aimed at a wide audience
with background in general algebraic geometry. |
| リンク | https://www.math.kyoto-u.ac.jp/~mhyo/agsem/agseminar.html |
|