Presented by:
Romain Tessera Université Paris-Sud 11
Date:
Thursday 2nd March 2017 - 10:00 to 12:00
Venue:
INI Seminar Room 2
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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