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| 開催情報 | 金曜日 10:00～11:30 数理科学研究科棟(駒場) 126号室 |
|---|---|
| 担当者 | 植田一石，金井雅彦，二木昭人 |
| 備考 | 開始時間と開催場所などは変更されることがあるので, セミナーごとにご確認ください. |
2015年05月08日(金)
10:00-11:30 数理科学研究科棟(駒場) 126号室
石田政司 氏 (大阪大学)
On Perelman type functionals for the Ricci Yang-Mills flow (Japanese)
石田政司 氏 (大阪大学)
On Perelman type functionals for the Ricci Yang-Mills flow (Japanese)
[ 講演概要 ]
In his works on the Ricci flow, Perelman introduced two functionals with monotonicity
formulas under the Ricci flow. The monotonicity formulas have many remarkable geometric applications. On the other hand, around 2007, Jeffrey Streets and Andrea Young independently and simultaneously introduced a new geometric flow which is called the Ricci Yang-Mills flow. The new flow can be regarded as the Ricci flow coupled with the Yang-Mills
heat flow. In this talk, we will introduce new functionals with monotonicity formulas under the Ricci Yang-Mills flow and discuss its applications.
In his works on the Ricci flow, Perelman introduced two functionals with monotonicity
formulas under the Ricci flow. The monotonicity formulas have many remarkable geometric applications. On the other hand, around 2007, Jeffrey Streets and Andrea Young independently and simultaneously introduced a new geometric flow which is called the Ricci Yang-Mills flow. The new flow can be regarded as the Ricci flow coupled with the Yang-Mills
heat flow. In this talk, we will introduce new functionals with monotonicity formulas under the Ricci Yang-Mills flow and discuss its applications.
