Geometry Seminar

Seminar information archive ~03/25Next seminarFuture seminars 03/26~


14:45-18:00   Room #056 (Graduate School of Math. Sci. Bldg.)
近藤剛史 (Kondo Takefumi) (神戸大学大学院理学研究科) 14:45-16:15
Fixed point theorems for non-positively curved spaces and random groups
[ Abstract ]
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.
赤穂まなぶ (Akaho Manabu) (首都大学東京大学院理工学研究科) 16:30-18:00
Lagrangian mean curvature flow and symplectic area
[ Abstract ]
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.