The Oliver Club - Cornell Universitypi.math.cornell.edu/~oliver/2015/drutu_may8.pdf · property (T)...
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The Oliver Club Friday, May 8, 2015 at 4:30 PM in 251 Malott Hall www.math.cornell.edu/~oliver/ Refreshments will be served at 4:00 PM in the Mathematics Department lounge (532 Malott Hall). Cornelia Drutu, Oxford University Fixed Point Properties and Proper Actions on Non-positively Curved Spaces on Banach Spaces Fixed Point Properties and Proper Actions on Non-positively Curved Spaces on Banach Spaces One way of understanding groups is by investigating their actions on special spaces, such as Hilbert and Banach spaces, non-positively curved spaces, etc. Classical properties like Kazhdan property (T) and the Haagerup property are formulated in terms of such actions and turn out to be relevant in a wide range of areas, from the construction of expanders to the Baum-Connes conjecture. In this talk I shall overview various generalisations of property (T) and Haagerup to Banach spaces, especially in connection with classes of groups acting on non-positively curved spaces. Cartoon by Rich Schwartz.
Transcript of The Oliver Club - Cornell Universitypi.math.cornell.edu/~oliver/2015/drutu_may8.pdf · property (T)...
The Oliver Club
Friday, May 8, 2015at 4:30 PM in 251 Malott Hall
www.math.corne l l . edu/~ol iver/
Refreshments will be served at 4:00 PM in the Mathematics Department lounge (532 Malott Hall).
Cornelia Drutu, Oxford University
Fixed Point Properties and Proper Actions onNon-positively Curved Spaces on Banach SpacesFixed Point Properties and Proper Actions onNon-positively Curved Spaces on Banach Spaces
One way of understanding groups is by investigating their actions on special spaces, such as Hilbert and Banach spaces, non-positively curved spaces, etc. Classical properties like Kazhdan property (T) and the Haagerup property are formulated in terms of such actions and turn out to be relevant in a wide range of areas, from the construction of expanders to the Baum-Connes conjecture.
In this talk I shall overview various generalisations of property (T) and Haagerup to Banach spaces, especially in connection with classes of groups acting on non-positively curved spaces.
Cartoon by Rich Schwartz.
