A Banachic generalization of Shalom's property H_FD.
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Description: |
Tessera, R (Université Paris-Sud 11)
Thursday 2nd March 2017 - 10:00 to 12:00 |
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Created: | 2017-03-14 11:07 |
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Collection: | Non-Positive Curvature Group Actions and Cohomology |
Publisher: | Isaac Newton Institute |
Copyright: | Tessera, R |
Language: | eng (English) |
Distribution: | World (downloadable) |
Explicit content: | No |
Aspect Ratio: | 16:9 |
Screencast: | No |
Bumper: | UCS Default |
Trailer: | UCS Default |
Abstract: | A group has property H_FD if the first reduced cohomology of unitary representations is supported on finite sub-representations. Shalom has proved that this property is stable under quasi-isometry among amenable groups. We generalize this notion to the class of WAP representations, and we prove that this stronger property holds for a class of locally compact solvable groups including algebraic groups over local fields and their lattices. As a by-product we prove a conjecture of Shalom, namely that solvable finitely generated subgroups of GL(Q) have H_FD. (Joint work with Yves Cornulier) |
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