## 東京幾何セミナー

担当者 二木 昭人(東京工業大学), 今野 宏 http://faculty.ms.u-tokyo.ac.jp/~geometry/kika.html 場所は東大数理(駒場)、東京工業大学(大岡山)のいずれかで行います。詳細については、上記セミナーURLよりご確認下さい。「今後の予定」欄には、東工大で行われるセミナーは表示されないのでご注意下さい。

### 2009年10月14日(水)

14:45-18:00   数理科学研究科棟(駒場) 056号室

「今後の予定」欄には、東工大で行われるセミナーは表��

Fixed point theorems for non-positively curved spaces and random groups
[ 講演概要 ]
It is not easy to construct a finitely generated group with a fixed point property for non-positively curved spaces. However, if we randomly choose relators, then we can get examples of such groups. To show this, we need a criterion for deducing a fixed point property from a local property of a group. In this talk, we will introduce one such criterion, and our approach is via a scaling limit argument.

Lagrangian mean curvature flow and symplectic area
[ 講演概要 ]
In this talk, we consider symplectic area of smooth maps from a Riemann surface with boundary on embedded Lagrangian mean curvature flow in Kahler-Einstein manifolds. As an application, we observe a relation between embedded Lagrangian mean curvature flow and Floer theory of monotone Lagrangian submanifolds in Kahler-Einstein manifolds; in this case non-trivial holomorphic discs turn out to be an obstruction to the existence of long time solution of the flow.