
住所: 〒464-8602 愛知県名古屋市千種区不老町

ファイル更新日：2006年08月07日

研究情報

■ミニワークショップ “Geometry and Groups”■

日　時: 2006年7月3日(月)～7月7日(金)
会　場: ホテルノースイン札幌　北農健保会館　333号室
〒060-0004 札幌市中央区北4条西7丁目1番4
世話人: 金井雅彦(名古屋大学)，納谷信(名古屋大学)，井関裕靖(東北大学)

●プログラム

7月3日(月)
10:30–11:30	Nicolas Monod (Univ. of Geneva)	CAT0 spaces, splitting and superrigidity (1)
13:30–14:30	Nicolas Monod	CAT0 spaces, splitting and superrigidity (2)
15:00–16:00	Toshiyuki Akita (Hokkaido Univ.)	Cohomological aspects of Coxeter groups
7月4日(火)
10:30–11:30	Nicolas Monod	CAT0 spaces, splitting and superrigidity (3)
13:30–14:30	Koji Fujiwara (Tohoku Univ.)	Asymptotic geometry of curve graphs
15:00–16:00	Takefumi Kondo (Kyoto Univ.)	Fixed-point property for CAT(0) spaces
7月5日(水)
10:30–11:30	Nicolas Monod	CAT0 spaces, splitting and superrigidity (4)
7月6日(木)
10:30–11:30	Nicolas Monod	CAT0 spaces, splitting and superrigidity (5)
13:30–14:30	Narutaka Ozawa (Univ. of Tokyo)	Amenable actions and applications (1)
15:00–16:00	Narutaka Ozawa	Amenable actions and applications (2)
7月7日(金)
10:30–11:30	Nicolas Monod	CAT0 spaces, splitting and superrigidity (6)
13:30–14:30	Taro Yoshino (RIMS)	Existence problem of a compact Clifford–Klein form and tangential homogeneous spaces

●Monod氏連続講演のアブストラクト

The lectures will begin as an introduction to cat(0) spaces, also called Hadamard spaces. These spaces are defined by imposing a simple inequality on triangles in completely general metric spaces in order to imitate the notion of "non-positive sectional curvature" familiar in Riemannian geometry. That level of generality allows to produce relatively simple arguments that are interesting even for the special case of Riemannian manifolds.

We will introduce from the very beginning some of the general techniques in cat(0) geometry. Our guiding goals will be (1) to prove a splitting theorem in the spirit of Lawson-Yau and Gromoll-Wolf; (2) to prove a superrigidity theorem in the spirit of Margulis. This goals will provide motivation for the general theory.