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Update: 2024/12/03
  
Research
Mini-Workshop “Geometry and Groups”
- Period:
- July 3–7, 2006
- Venue:
- Rm 333, Hotel North-Inn Sapporo, Hokunoukenpokaikan
Kita-shijoh 7–1, Chuoh-ku, Sapporo
- Speakers:
- Toshiyuki Akita (Hokkaido University),
Koji Fujiwara (Tohoku University),
Takefumi Kondo (Kyoto University),
Nicolas Monod (Université de Genève),
Narutaka Ozawa (University of Tokyo),
Taro Yoshino (RIMS, Kyoto University)
- Organizers:
- Masahiko Kanai (Nagoya University),
Shin Nayatani (Nagoya University),
Hiroyasu Izeki (Tohoku University)
Program
| Monday, July 3 |
| 10:30–11:30 |
Nicolas Monod (Université de Genève)
CAT0 spaces, splitting and superrigidity (1)
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| 13:30–14:30 |
Nicolas Monod (Université de Genève)
CAT0 spaces, splitting and superrigidity (2)
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| 15:00–16:00 |
Toshiyuki Akita (Hokkaido University)
Cohomological aspects of Coxeter groups
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| Tuesday, July 4 |
| 10:30–11:30 |
Nicolas Monod (Université de Genève)
CAT0 spaces, splitting and superrigidity (3)
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| 13:30–14:30 |
Koji Fujiwara (Tohoku University)
Asymptotic geometry of curve graphs
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| 15:00–16:00 |
Takefumi Kondo (Kyoto University)
Fixed-point property for CAT(0) spaces
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| Wednesday, July 5 |
| 10:30–11:30 |
Nicolas Monod (Université de Genève)
CAT0 spaces, splitting and superrigidity (4)
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| Thursday, July 6 |
| 10:30–11:30 |
Nicolas Monod (Université de Genève)
CAT0 spaces, splitting and superrigidity (5)
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| 13:30–14:30 |
Narutaka Ozawa (University of Tokyo)
Amenable actions and applications (1)
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| 15:00–16:00 |
Narutaka Ozawa (University of Tokyo)
Amenable actions and applications (2)
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| Friday, July 7 |
| 10:30–11:30 |
Nicolas Monod (Université de Genève)
CAT0 spaces, splitting and superrigidity (6)
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| 13:30–14:30 |
Taro Yoshino (RIMS, Kyoto University)
Existence problem of a compact Clifford–Klein form and tangential homogeneous spaces
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Abstract of lectures by Prof. Monod
Nicolas Monod (Université de Genève)
CAT0 spaces, splitting and superrigidity
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.
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Past Conferences and Workshops 
